Is it possible to transfer music from one iPhone to another?

Over the weekend, I upgraded my iPhone 4s to an iPhone 5s. The people at Verizon were able to transfer my contacts and pictures, but I completely forgot about asking them if they could transfer my music as well.

Is this possible? Is this something I'd be able to do on my own, and if so, how would I go about doing this?

Will my 1 year warranty for iphone 5 cover a broken charging port?

I've had my iphone for less then a a year I've had it 6 months and the chargin port is broken the cable still works fine I've tried more then one cable and it is the port will it cover it I didn't break it it's just happened and at first I thought it was the cable then it just kept getting worse

Do you get chargedd for using itunes radio?

Just got an iPhone for the first time yesterday. Then made my first ever iTunes account and I don't have any songs on my phone yet. But i'm using the radio instead. Do I get charged for using it