Your last statement is the litmus test. Good friends worth being around and hanging with will not only know your strengths and weaknesses but are willing to stick by you and support you in spite of your weaknesses. I can't say whether those particular friends will do that or think you're "nuts". Hopefully the former.

I think that it's a good thing to know your friends before revealing too much about yourself in the beginning but sometimes it's not in your control like what happened to you and you shouldn't be frowned upon for that, you didn't do anything wrong. The silver lining in this is that the people worth your time and energy will show their true colors from this and in the end I'm sure you'll be able to trust them more and have a great friendship ahead of you!