No the police have no right to enter your house, or to look at your drumset, much less touch it. Do not allow them access to your house unless they have a warrant to do so, which they will be unable to get.
You are allowed to play up to 10 or 10.30pm, from 10am onwards. It's the same regulations as construction work.
Your neighbour has no right to complain, as long as you can prove that you have taken sufficient measures to prevent it from being a nuisance to him. You'll only be in trouble if you play at ungodly hours, or your neighbour can prove that you're playing drums with the sole intention of creating nuisance to him. Oh, and there must be more than one complainant.
The most that he can do is to sue you in a civil court, but then again it's not very common because of the legal hassle and costs involved.