I think right now, it would be really good if you could Not give in to the dating for a while, and please don't let anyone give you "ultimatum"s, that is cruel and a huge red flag.
Since you are in college, try joining a club, or activity where you can do things with others and get to know people over time. Learning a craft/hobby can also really help because it can be done alone or with others who have similar interests.
I'm thinking that you may be just trying too hard and feeling lonely doesn't help. You might also want to talk to a counselor. (I think you should talk to someone about the assault, whether a health care provider, counselor, or rape crisis center. This was rape, it doesn't matter if you used poor judgement, it is not your fault.
So sorry it is such a rough year---starting college, and just being your age can be tough at the best of times. (& get into the learning, study...read, write...)