Are you renting or buying the place? The issue with fixing problems in a rented space is that you'll likely need to drill into the walls. I'd worry about losing my deposit due to the 'improvements'. I don't think I'd be willing to invest money in fixing the acoustics in a space I didn't own either.
That's true. They're things you could likely fix yourself though if you're a DIY kind of person. Although, if it requires big changes, I'd probably ask beforehand, just to be on the safe side.
Like Johnny said, if you're going to be there for a while, it'd probably be worth it. I realize this is from a couple of months ago so you've probably made a decision one way or the other. Did you end up getting the apartment?