Queer doesn't necessarily have to mean homosexual. It usually means weird.
Yes, but few on a gaming site would be expected to use the Elizabethan usage of a word so corrupted as of late. I am unsure if they will even allow you that name.
Probably Matrix[initials here]. I'm not creative when it comes to usernames, but I do have some other usernames in mind. I won't name them because I don't want people creating an alt with it.