One, Satan is himself, and he is in heaven. Therefore, he is not the beast or the false prophet. These three work together, but each has his own identity.
But didn't you just say this?:
Now we know something else about Satan. He also has access to the Earth, and can affect peoples lives. So, it appears that Satan can be everywhere he wants to be, on Earth or in heaven
Want to try to pin this down to one location?
IF Satan can be everywhere he wants to be, then your therefore in the first quote isn't working out so well.
We do know this about Satan. He has a kingdom, and children i.e. a family of devils and a domain, earth. I'll leave off any discussions about the location of heaven but if the Kingdom of God is within, where is heaven? Yeah. Not on the planet Kolub.
Anyway, we can derive a shortcut on this subject of the beast, the false prophet and the dragon. I'm presuming you know the dragon is Satan? Even a great red dragon, per
Revelation 12:9
And
the great dragon was cast out,
that old serpent, called
the Devil, and Satan, which deceiveth the whole world: he was cast out into the earth, and his angels were cast out with him.
Revelation 12:3
And there appeared another wonder in heaven; and
behold a great red dragon, having seven heads and ten horns, and seven crowns upon
his heads.
The term red should not change the fact that these are pinpointing the devil, Satan.
And here, toward the end of Revelation, all these players, the beast and the false prophet are tied directly to the dragon, and devils. So any meanings of physical locations about mountains and physical kings should be eliminated, other than the fact that these various agents work in mankind, collectively:
Rev. 16:
13 And I saw
three unclean spirits like frogs come out of the mouth of
the dragon, and out of the mouth of
the beast, and out of the mouth of
the false prophet.
14 For
they are the spirits of devils, working miracles,
which go forth unto the kings of the earth and of
the whole world, to gather them to the battle of that great day of God Almighty.
We know the dragon is Satan. We also know the dragon, the beast and the false prophet are UNCLEAN SPIRITS. Just as the antiChrist is a spirit, against Christ.
It is a waste of time to look at physical locations and physical people for any of these matters when we are engaging UNCLEAN SPIRITS