Brokeheart, you ARE normal.
You have put boundaries in place, and stuck to them. That is great. Being abused in any way is completely unacceptable and not a great start to a relationship.
Are you meeting these people via drinking?
I know that in the past I got to meet people in pubs and clubs. I look back and realise that wasn't my best move.
I think you know exactly what you don't want - being a friend with benefits - ughhh. Whar is it you do want for your life? What things make you happy? For me its the forest, nature. Keep being you.