have old itunes account, need to sync new iphone 6s w/out losing data on it

Question One - I previously had an iphone 5s, which I recently dropped and broke the touch screen on. I had synced it to iTunes but not icloud.

I now have a new iphone 6s. I have not synced with iTunes yet but I have (I think, see Q.2) backed up on icloud. I have purchased apps and made notes and contacts I do not want to lose when I sync. Is there a possibility of me losing any data and how can I prevent it?

Question Two - My iphone did somehow sync with icloud soon after I got it (i think it was when i got an updated verion of ios) and delete all the music I had that wasn't purchased on iTunes. The music purchased from itunes remianed. It also deleted all the notes I had made and contacts I had put into my iphone. How can I make icloud take whats on my phone and back it up?