I'm going through something similar. We're supposed to have no contact right now but it's really, really tough. Even though I know it's for best. If he asked you not to contact, then the best thing to do is to respect these wishes. Leed is right that contacting right now would just push him further away. Plus this time to heal is important for you too. It hurts, but that's usually part of separating from someone you were heavily connected to, like in a romantic relationship. The painful process of learning to be without them is necessary to moving on. So it's probably best that he made this request, because it forces you to start moving on with your life.

I think it's natural to also feel bad and have periods where you want to isolate during this process. Sometimes we just need time to ourselves to deal with our emotions. However, I also think it's important to keep living your life and to start trying to function without him. I would go out with your parents, if you can. You will probably have to force it right now, but in the long run it will have positive benefits. You can't very well move on with life if your life stops functioning completely just because he's gone. This is part of the process.

I know it hurts. Try to keep in mind that the pain of this is temporary, and you will feel better. It sounds like there were valid reasons you guys broke up, so focus on the concept of living your life anew and all the new chances you will have later. G'luck.