How long should an iPhone 5 battery last?

Just had a new battery put in my iPhone 5, the old one used to last about 2 hours usage time max. I wanna know how long this one should last, didn't get it done by Apple it was a phone shop.

How to transfer songs from iPhone to Computer? - 2

I have a bunch of songs on my iPhone that I downloaded to my iTunes from 3rd party websites, now I need to know how to sync these songs onto iTunes on my computer. I've tried file/devices/transfer purchases, but that just transfered my purchased songs, and since I didn't purchase the 3rd party songs, they don't sync. So all I need to know is how to take every song on my iPhone, and put them on my Computer's iTunes.

How to fix iPhone that doesn't turn on after delete date?

I'm asking this for my mom.

She deleted all the data on her phone and restarted everything because the phone was going to be to given to my aunt who wanted it. She deleted the data and now all it does and shows the white screen with the apple icon on it and it stays on that screen until the better drains out. She plugged it into the charger and nothing happens, once it's fully charged the phone is back to that screen and restarts the process. Apple screen until no battery, charge and shows screen again. Please, my aunt really wants this phone. It's the 6+ if that helps! (No 's')

Added (1). I went online and it says you can get a code. How am I suppose to enter in a code when the phone is just showing the screen and you can't do anything about it but let the battery wasted? Should I go on Apple Live Chat? No she did not buy this phone from Amazon or anything like that.