Sounds like he's probing the perimeter, testing for weaknesses, sowing his oats all at the same time.
He'll settle down, find a routine... you may even miss some of this puppy in him. LOL "SURE!" LOL
Take lots of photos in the early months, we haven't taken nearly enough. I watched a vid the other day of our pom when we first got him, he's changed so much. His hair makes him look easily twice his weight and now bigger than the yorkie colored mix we have, can't really see his tail anymore, just hair... the early vid, I could actually see his tail. At any rate, he changed quite a bit and I didn't quite realize how much until I recently watched a vid from earlier this year. I should have taken more.