Where in your source does it say that the 7 day week was derived from Lunar action. What you have posted above does not say that at all.
Let's go basic and work out way back up. Lunar refers to the moon. The Lunar Cycle gives the month. From one shape of the moon back to the original shape gives the month. There is no Lunar cycle which gives the week. There is no cycle in nature that the week is based on. What does every Sunday have in common?
You have proven nothing with all those sources. There is no explanation for the existence of a seven day week besides God creating that weekly cycle in the beginning. The entire bible alludes to a 7 day week. As someone who is supposed to be bible believing you surprise me. To imply that the seven day week was an invention of the Babylonians and Romans and that it was set up by God is plain disrespectful to the creator. Sure, they gave the names to the days, but they did not come up with the 7 day cycle.
The Sabbath days were set by the Sanhedrin for much of the Biblical times. Similarly a newer version of the deliberative body sets the Sabbaths:
"A special court has been established to accept evidence concerning the sighting of the New Moon, as required by Jewish Law. This court is made up of various justices who are assembled to hear evidence as the opportunity permits. The purpose of the court is to increase awareness, develop skills, and resolve halachic issues that arise when determining the Jewish Calendar according to testimony by witnesses."
Committee concerning the fixing of the Calendar - The Sanhedrin - en
Beware of the "Lunar Sabbath"
How to calculate 7th day sabbath ?
"However, in recent years, and amidst the various calendar controversies, questions have arisen in certain circles: Have we been keeping the wrong day? Should the Sabbath count start with the sighting of the new moon? Apparently, some have answered in the affirmative."
Sabbath: Counted From the New Moon? ~ Lunar Sabbath vs. Saturday Sabbath ~
"Is the Seventh-day lunar? The Bible teaches that the holy days are to be calculated by the heavens. Consider Genesis 1:14. "And God said, Let there be lights in the firmament of the heaven to divide the day from the night; and let them be for signs, and for seasons, and for days, and years."
Sabbath More Fully Lesson 8: Luni-Solar Sabbath Issue
"
The Lunar Weekly Sabbath is NOT Saturday or Sunday!
The true weekly Sabbaths are determined by the phases of the moon, not a carnal count of one through seven. (Genesis 1:14 and Psalms 104:19 compared to Leviticus 23:2-3). Let's take a look at the creation Sabbath also known as Lunar Sabbaths.
The Lunar Sabbath is one of the most provable doctrines found in scripture and one of the hardest to get people to take an honest look at. Lunar Sabbaths not only can be conclusively proven from Scripture, but Mathematically, Historically, Scientifically, and from Nature itself."
http://www.lunarsabbath.info/
"The Jewish calendar is based on three astronomical phenomena: the rotation of the Earth about its axis (a day); the revolution of the moon about the Earth (a month); and the revolution of the Earth about the sun (a year). These three phenomena are independent of each other, so there is no direct correlation between them. On average, the moon revolves around the Earth in about 29½ days. The Earth revolves around the sun in about 365¼ days, that is, about 12.4 lunar months.
The civil calendar used by most of the world has abandoned any correlation between the moon cycles and the month, arbitrarily setting the length of months to 28, 30 or 31 days.
The Jewish calendar, however, coordinates all three of these astronomical phenomena. Months are either 29 or 30 days, corresponding to the 29½-day lunar cycle. Years are either 12 or 13 months, corresponding to the 12.4 month solar cycle."
http://www.jewfaq.org/calendar.htm
http://www.worldslastchance.com/yahuwahs-calendar/the-lunar-sabbath.html
"The lunar month on the Jewish calendar begins when the first sliver of moon becomes visible after the dark of the moon. In ancient times, the new months used to be determined by observation. When people observed the new moon, they would notify the Sanhedrin. When the Sanhedrin heard testimony from two independent, reliable eyewitnesses that the new moon occurred on a certain date, they would declare the rosh chodesh (first of the month) and send out messengers to tell people when the month began.
During Temple times and through the Tannaitic period, the Hebrew calendar was observational, with the beginning of each month determined by the high court based on the testimony of witnesses who had observed a new crescent moon."
http://www.feastsofthelord.net/id166.html
"We were under the belief that the traditional Saturday, 7th Day Sabbath was the Day that our Heavenly Father Yahweh made for us to keep. We felt that the Orthodox Yahudim could make no mistakes – Until we were made aware that there was another Day or Way our Forefathers kept the 7th Day Sabbath, to fulfill the 4th Commandment of our Heavenly Father Yahweh."
http://www.yahwehsfeastdaysite.com/feastDays4.asp
http://www.hebrew4christians.com/Holidays/Calendar/calendar.html
Here's an honest, and horrified Seventh Day Adventist, swallowing the Biblical Truth about Lunar Sabbaths for the first time:
http://www.lunarsabbath.com/articles/case4LBS.htm
You really were not aware that Judaism always followed God's explicit command in Genesis 1:14? It is absolutely clear that a Biblical Sabbath is calculated using lunar calculations! Always have been, always will be!