Yes, that's how I understand it. The first verses obviously say that the Muslims should give a part of their belongings to Muhammad. The last ones say he (Muhammad) did not ask for a payment. So did they have to share with Muhammad from their belongings or not?
These verses you quoted have to be understood within the right context. In my other post I gave an example where Allah says (interpretation) in the Quran:
"So, woe unto those performers of Salah" 107:4
This if read on its own appears that Allah is telling us not to pray, whereas we know in reality this is true for prayer is an established act in Islam.
There are a lot of ayahs that have been quoted and it would take quite a long time to explain each one therefore I will post a brief explanation and give you the sources where you can read further. Hope this is ok.
If we look at the verses that have been quoted which claim that Muhammed took a "fee".
And spend in the cause of Allah and do not throw yourselves into destruction, and do good. Truly, Allah loves Al-Muhsinin (those who do good) 2:195
Taken from the explanation of Ibn Kathir:
The Ayah (2:195) includes the order to spend in Allah's cause, in the various areas and ways that involve obedience and drawing closer to Allah. It especially applies to spending in fighting the enemies and on what strengthens the Muslims against the enemy. Allah states that those who refrain from spending in this regard will face utter and certain demise and destruction, meaning those who acquire this habit.
Please see for quite a detailed explanation:
Tafsir.com Tafsir Ibn Kathir
And know that anything you obtain of war booty then indeed, for Allah is one fifth of it and for the Messenger and for [his] near relatives and the orphans, the needy, and the [stranded] traveler, if you have believed in Allah and in that which We sent down to Our Servant on the day of criterion [i.e., decisive encounter] the day when the two armies met [at Badr]. And Allah, over all things, is competent. [8:41]
There is no doubt that one fifth of the spoils of war belong to Allah and His Messenger. And the Prophet through his kindness and generosity said in a hadith:
This is also a part of the war booty you earned. Verily, I have no share in it, except my own share, the fifth designated to me. Even that fifth will be given to you (indicating the Prophet's generosity). Therefore, surrender even the needle and the thread, and whatever is bigger or smaller than that (from the war spoils)......
Please see for another detailed explanation:
Tafsir.com Tafsir Ibn Kathir
Take Sadaqah from their wealth in order to purify them and sanctify them with it, and Salli for them. Verily, your Salat are a Sakan for them; and Allah is All-Hearer, All-Knower [9:103]
This relates to the obligatory Zakah which is to be levied on the rich to be distributed to the poor. This is a pillar of Islam and an obligation and those who refuse to give should be fought until they do. Just as Abu Bakr did when he was the Leader
See
Tafsir.com Tafsir Ibn Kathir
Verily, Allah has purchased of the believers their lives and their properties for (the price) that theirs shall be the Paradise. They fight in Allah's cause, so they kill and are killed. It is a promise in truth which is binding on Him in the Tawrah and the Injil and the Qur'an. And who is truer to his covenant than Allah Then rejoice in the bargain which you have concluded. That is the supreme success [9:111]
This verse actually relates to Jihad and nothing to do with money or taking a fee.
See:
Tafsir.com Tafsir Ibn Kathir
You are now invited to spend in Allah's cause; but among you are those who withhold (stingily). And whoever acts stingily is but stingy toward himself. For Allah is indeed free of needs, while you are the needy. And if you turn away, He will replace you with other people; then they will not be like you.) [47:38]
This relates to "Showing the Triviality of the Worldly Life and encouraging Spending". There is nothing here to indicate Muhammed taking a fee for Allah is asking is followers to willingly spend in his sake by offerring sadaqah (charity) and helping the muslims through wealth and other means.
See:
Tafsir.com Tafsir Ibn Kathir
And what is the matter with you that you spend not in the cause of Allah And to Allah belongs the heritage of the heavens and the earth. Not equal among you are those who spent and fought before the conquering. Such are higher in degree than those who spent and fought afterwards. But to all Allah has promised the best. And Allah is All-Aware of what you do [57:10]
Again this ayahs explanation is very similar to the one above. And i would say read this explanation first then the one above as it will be much clearer and assist your learning.
See
Tafsir.com Tafsir Ibn Kathir for a very nice explanation of what it means to spend in the way of Allah.
None of the abovet indicate anywhere that Muhammed took a fee, rather the last couple of ayahs stress that Muslims generally should spend from their own wealth for the sake of Allah, by offering charity. This can be through wealth amongst other things. All Praise be to Allah.
I am not going to go into the details of the ayahs where it is claimed that Muhammed never took a fee because the above proves that he never did, therefore there is nothing to prove anymore. However I can if you want me to. I would just like to finish this post with a few additional comments (apologies if you think i am diverting but i feel it is neccessary).
There are many enemies of Islam who try to slur the Prophet's way of life and claim he did what he did for status and wealth in this world and that he took money from his followers. This is far from the truth for history about his life tells us how much of a simple life he led, may Peace and Blessings be upon him. Below are a few examples of what I mean:
Anas, the helper of Prophet Muhammed said about him:
"According to my knowledge, Allah's Messenger has never tasted a thin flattened loaf in all his lifetime nor has he ever seen a roasted goat with his own eyes"
Aisha, the wife of Prophet Muhammed said:
"Over two months would pass during which we would have seen three cresecents - while no fire was kindled in the houses of Allah's Messenger (i.e. they did not cook food)". An individual asked her "what did you eat to sustain yourselves?" She said "Two black things: dates and water"
There are a number of other narrations that exist about the hard life of Muhammed and if he was to take a fee off the people then certainly he wouldnt have lived as he had.
When Aisha was asked about the Prophet's bed she explained "
It was made of coarse animal skin filled with date-bark". When the same question was asked to Hafsah his other wife she replied
"it was just a piece of sackcloth...."
It is also known that Muhammed coat of mail used during the battles has been pawned to a Jew in return for 30 dirhams but he didnt have enough money to get it back from him. And the Muhammed departed this world and the coat of mail was still with the Jew.
All that The Messenger left was his weapons, a mule and a coat of mail as inheritance but with instructions that these were to be given as charity. Glory be to Allah, he still acted generous on his death bed.
Given what history tells us about Muhammed and his way of life, some muslims have tried to recreate the house of the Prophet based upon what has been reported about his life in the authentic Sunnah. It has been suggested that it looks like the below, certainly not the type of house of man who sought a fee.
SPi-V panorama
As it says in the book from which i have in front of me:
"Are they not blind who accuse him of lifting his sword against his own people for personal gain, sensual desire, for power, for wealth or fulfilling a lust for territorial gain"
To summarise this long post the ayaat which were quoted above either have been taken out of context, meaning they refer to other aspects of the religion like Zakah and Jihad - this is not fair and injust to Holy Quran. Finally some of the ayat refer to spending in the way of Allah, meaning supporting his deen through wealth and other means.
Hope you find this useful just let me know if you need anything further
Regards