I think you're "supposed to" use your real name on Facebook. If you use an alias, it's probably best to choose something that looks like an actual name. Otherwise, Facebook could possibly suspend your account.
Is it possible to redeem my vegas offers without a Facebook account? I don't do Facebook but when I try to see what offers I can access the app tells me it's unavailable unless I connect to Facebook. Anyway around that or am I going to have to create a Facebook account just to redeem the offers on my vegas?
I would suggest connecting it to Facebook..my dad did not have his linked with his Facebook and when his iPhone broke he lost his 300k lps.
The best way (by far) to earn gold coins is the Mobile Blackjack game.
I've gone on huge runs on that app and made 100k coins in one day multiple times.