Again, NO IT DOES NOT.
Where do you think these 'right' are outlined? What asinine rights do you claim because they are getting paid? What a vapid idea. If I own a restaurant you do not get to barge in and do whatever the hell you want. I can even refuse service without reason or cause because I own the damn business.
Bullshit. Anti-Trust laws were created because companies were able to monopolize entire industries. Facebook is not a monopoly nor are they using any business practices that deny entry into the market.
There is a very simple remedy, DO NOT USE THEM. Create your own damn website rather than demanding that the government come in and take theirs so you can use it. It is ironic as hell that the right bitches about communism over and over and over again when the core tenant of communism and socialism is public control of the means of production. The EXACT thing that the right, and you, in this thread is calling for, public control of Facebook.