Heck yeah, that is plenty of processor. I drive my music rig with an i5 and it never breaks a sweat.
As before, get as much RAM as you can afford. It's more cost-effective to install as much as you can at the outset rather than upgrade later, although not as big a delta as it used to be. 8 GB is the bare minimum I would consider; you will be MUCH better off with 16. I'm not up on the latest prices for laptops but I can't imagine that would add more than a couple hundred bucks to the price, and it will be totally worth it.
Any i7-based rig with 16 gigs and an SSD-based OS will be more than plenty to do all you want to do. The sole issue you might have (then again you might not) is if you tax your system with a music project and the fans spin up while you're trying to record. That is not a showstopper; one just waits a while till the machine cools off. And in my experience, it's graphics-intensity that really pushes laptop heat more than music editing.