Is it normal to like someone but not wanna treat them good?

You can say I'm being possessive over my feelings and the stuff I used to do for my ex. He was my first love and I still want to be with him. We broke up a few months ago and he pointed out that maybe we'll get back together later but right now we need to be single. We have talked a few times since but very briefly. So I feel like it's not completely over. But I have been talking to this other guy and he is the first one I've had feelings for and kissed. I do like him but 1) I don't think we're compatible especially in our lifestyles and 2) I'm not ready to pursue another relationship. So whenever I genuinely wanna do something to him or with him, I stop myself because I feel like all of those things belong to my ex. In a way, I feel bad cause I do like this guy and kinda care for him (he's been through a lot and I can tell he's a good guy) but I don't wanna spoil all the stuff I cherished with my ex. As I said, he was my first love and I'll always be in love with him (at this rate) so idk it's a weird situation to be in. You would think if I genuinely feel like doing something for this guy then I would just do it but it's not that easy. I feel like I'm betraying the specialness of my relationship with my ex. So like I said, it's like I'm being possessive of us.