With regards to the 3 strike issue, have I got this right?:

This particular bit of legislation only applies to P2P methods of obtaining the content you have no rights to?
Meaning if you obtain the same content via another method (ie direct streaming capture etc), you still don't have the rights to it, but the above law does not apply to this instance. Presumably some other law does.
Therefore P2P is not illegal, just using this method to acquire content you have no rights to is.

Is there a time period, as in they have to notify you within 3 months of the alleged infringement or something like that?

And was there any clarity around what each notice would apply to? As in is a single track 1 strike, or is an entire album 1 strike, or 12 strikes in one go etc?

Hopefully the answers to the above will help the original poster and others.