Does he want to get back together or is this him being "friends?"

My boyfriend and I broke up five days ago because we both have a lot of personal things going on (he is struggling with his religious views and I am struggling with where I see myself in the future). We were both very stressed out and had several mini fights about how our communication was lacking at times. When we broke up, and even before that, he kept bringing up the fact that he wanted us to be able to be friends in the future. During our actual breakup he told me that we needed a long time away from each other and told me that we should not see each other until after the summer is over (we are leaving school for break this coming week).
After two days of us being awkward whenever we saw each other, I couldn't stand it anymore and I approached him and we had a really nice conversation. Before this I had been pretty happy with our break up but after our conversation I felt horrible, unsure of if he was feeling weird about me approaching him since he flat out told me he didn't want us to talk for the rest of the school year.
The next day, yesterday, we were talking online and I mentioned to him that I was bored. He showed up at my door a minute later and we went on a walk. This made me even more confused because two days before we started dating the EXACT same situation occurred. We hung out for a while before returning to our places and I was still rather confused as to what it all meant.
Today, he approached me once again while I was eating lunch with my close friend and the three of us spent a few hours together before my friend left for work. The two of us went our separate ways but he showed up at my door at four and we proceeded to hang out until midnight. We went for a walk and had a bonfire and we had a really wonderful evening. At one point, he put his arm around my waist for a second and then stepped away from me as if he had just realized what he had done. When I returned home, several people asked me what was going on between us and I did not even know what to say.
I am so confused because of how explicit he was about not talking until next school year and how he is now seeking me out. Is he seeking me out and wanting to spend time with me is because he wants to get back together or because this is him being "just friends?"