They've told you they don't want a relationship with you.
I don't think you've moved on and you're still hung up on them romantically - of course, understandably so. You still have feelings for them, but as you said, everything you have listed is what friends do. They're being a good friend to you. It doesn't matter what your friends think, they're not your crush. Your crush clearly told you and has set the boundary that you're JUST friends. Let it go and move on.
The more you linger on this, or even ask them once more - could push them away. Move on, go out and meet someone new. If being friends with them is too much for you and can't help you move on, distance yourself or unfriend them.
One more thing! You need to respect the fact they said no to you. I know it can be heart-wrenching, unrequited love can suck. BUT, you're not entitled to a relationship with this person. So let the past stay in the past. And when other people like your shared friends talk about it, tell them its in the past and you've moved on/in the process of moving on.
I once had a romanitic-ish thing with a friend who asked me out, I rejected them. They asked me out 4x after - it ended up pushing me away because I felt so uncomfortable and stopped talking to them.
This is just infatuation. Fill your life up with activities, pursue your goals - and you'll slowly move on and become a happier, healthier person.