sketchy phone biz?

So my bf and I have been together around 3 months. I keep finding out more and more things that he has been lying about, ie., his name! Every time I ask he will lie until I have found more evidence he is lying and then he admits it. Not only this, but he is constantly packing his phone with him but refuses to show me anything on it. I've never been on to check my bf's phone before in the past or now, but I feel like he is hiding so much. he says he just "wants the past in the past" and this is why he doesn't show me anything. Am I paranoid??