My opinion is that you should quit rather than be fired. Leaving voluntarily looks a lot better than being fired. That's just something to keep in mind...

Also, because this is a national chain hotel, there should be phone numbers posted someplace that you can call to report sexual harassment and things being stolen anonymously. I would also investigate contacting the BBB because of some of the things that are happening to the customers (such as things being stolen and no action being taken).

I agree with someone else that mentioned if you have a lawyer for your custody case, perhaps you can talk to them about what you are putting up with at work.

Perhaps you and your boyfriend can request a day off from work so that you could spend the day going places to get applications or dropping off resumes or something. I really believe you need to get out of the work environment. Horrible customers is one thing -- horrible management is something entirely different that you should not have to put up with under any circumstances.