Will a SPECK brand iphone 6/6s case fit an iphone 7?

I'm debating on upgrading my phone to either a iphone 6s or an iphone 7, and already have two cases that I bought a while ago since i thought I was set on the iphone 6s but now my mind is changing. One of them is the speck 'grip' model and says "for iphone 6/6s" on the box, and the other is a speck case by jonathan adler, and also says "6/6s" on the case (since I'm assuming both were made before the 7 came out). Does anyone know if they will fit? Id hate to have to buy new cases cause i really love these.

My iPhone screen is broken, what should I do?

I drop my phone a lot because I'm really clumsy and it just slips out of my hands, but today I dropped it and it decided to actually take some damage this time. I can't unlock it or do anything with it, but it still turns on, I can activate Siri (using the home button) and charge it and stuff. I just can't use the touchscreen. Will someone at the Apple Store be able to fix it? And if not, will I be able to recover all my saved stuff, because I have loads of music, notes and photos I would hate to lose. Should I go to the Apple Store anyway?
Here's a picture of the phone screen, if that helps. Sorry about the quality, all I have is a bad webcam