Is your boyfriend willing to wait on the sex thing? If so I think you have a good one there. He's being honest with you that he isn't in love with you yet but that he feels that those feelings might be developing. Sometimes feelings develop more slowly in one person than in the other. I wouldn't write off something that seems to be going well after 6 weeks just because you aren't in love yet. Give it some time.
I'm glad that you aren't actively pursuing your professor. At the very least it could seriously effect your academic career. I would hold off on that one until the conflict of interest is over and then if you still feel the same way you can look at exploring it then.
Everything will be ok in the end. If it's not ok it's not the end.