Which ones in particular? You're allowed to have sex with whoever you want, as long as they want it too. That whole marriage discrimination thing, the employment discrimination and immigration thing sucks though....
I know how you feel. Here, in Tennessee, there's not really a law against LGBT+ discrimination either, and same-sex marriage is unsurprisingly illegal. But, both our states will get there someday. Soon, the entire USA will support same-sex marriage and also have laws against the discrimination of LGBT+ people - maybe slowly, but definitely surely. Mississippi... will probably be last.
I'm not sure how the US government work, but would a federal law force all states into allowing same-sex marriage?
Police in Louisiana still arrest people if they're suspected of having sex. Obviously they can't charge them, but they still arrest a lot of people.
In what situations? If they are suspected (like, actually) of public indecency, that's one thing, but under Lawrence, ass fucking has been decriminalized. (By the way, O'Connor was the only one to decide that case correctly.)
A (federal) ruling by the Supreme Court would legalize it nationwide. So give or take a few semantics, more or less yes. They'll "hold" them under "suspicions" of various things. Basically, if you look like a queer in small Louisiana town (or small Southern town in general), sometimes particularly evil police have been known to throw you in jail for the night until they have to release you in the morning. Obviously something that should demand reprimand, but when you're in a hyper-conservative, small town environment, the abused have a penchant for remaining silent in fear.
Sadly, the law is still on the books in Louisiana, and they seem to be ignoring the case...or at least arresting people, but then not charging them, which is still pretty horrible. It gives police a way to harass and intimidate. Story here: Louisiana Sodomy Sting: How Invalidated Sex Laws Still Lead to Arrests | TIME.com One is reminded that even when the court strikes down a law, certain states refuse to comply, as was widely the case for civil rights, for many years.
My state's backwards too. You can get fired for being gay and it's 100% legal. To be honest if that happened to me and I had the money I would fight it all the way to the supreme court.