Is this avoidant attachment?

I’ve been talking to the boy for about 3 weeks, and we’ve hung out three times. Every time we hang out, we have either cuddled or his hand has been on my thigh. Anyway, I like the physical touch and invite it even, but I don’t want to like touch him…if that makes sense. Not even in a sexual way, I just don’t want to be the one that initiates PDA. I also just don’t believe that he actually likes me at all. I think that he’s lying and that there’s no way that someone could like me. I even told him to talk to other people…and then regretted it. We are still friends and hopefully hanging out tomorrow. I just feel like this isn’t normal. Any advice?