Battery replacement is done except something is not working.

I have recently fixed my iPhone 4S months ago (around since March 2013) from water damage. I didn't turn it on but instead I just cleaned it up first and tested it with my friend's battery and it works. I didn't have money that time to buy a new battery so I laid it aside until I bought one.

After I have bought the battery and installed it, I had it charged but here's the odd thing:

- When I plugged the iPhone to a charger... I do not see a battery charging icon but instead an Apple logo on startup but turns off after a second or two.

- Without the battery, I tried plugging in the charger... The apple logo shows the same way.

- I tested the battery I bought on my friend's iPhone 4S... It works. Battery has no problem.

- I tested my friend's battery on my iPhone this time, it doesn't show signs of life.

This didn't happen before because I was able to have a charge icon from my friend's battery.

Did I miss something?