Don't buy that business about Penelope Cruz hooking up with Lenny Kravitz. Our spy explains that Cruz was at Kravitz's place on April 28, but she brought Josh Hartnett and the pair were "all over each other in front of [Kravitz] all night." Source.
Well, we always knew Josh was at the birthday bash as well, so no surprise here.
I've only heard that sketch on SNL which sounded ok, what you could hear. But there are a few quotes around that say he has a good singing voice... so maybe.