iPhone 5 : Is my phone normal or not?
I believe your iPhone 5 is in good condition. Your charging speed seem to be similar to other iPhone 5 data. Charging should take around 3 hours. They have a fast charge function till 80% and they'll start filling up slowly. 

However, your battery might be a little lesser than expected of a new iPhone. All lithium-ion batteries lose a little amount of capability of holding the energy. They are called charge cycles and commonly, the Lithium-Ion battery degrades to around 80% when charged 300-500 times. 

Your iPhone is perfectly normal :D!!

Learn how to maximize your battery performance:
http://www.apple.com/batteries/maximizing-performance/
Source: https://discussions.apple.com/thread/5568093?start=0&amp;tstart=0