Welcome to Android Central! Moved from the Android Apps forum to the S3 mini forum, since the former is intended for developers to promote their apps.
Are you looking in the App Manager? Remember that many of those apps are system apps and preinstalled bloatware that can't be uninstalled.
Regarding your battery, it would help to see some stats. Charge up to 100%, then let it drain to 20-30% with normal usage, without charging in between. Then show us:
1. The main
Settings>Battery screen.
2. The fullscreen battery graph screen (which shows Awake time and Cell Signal Strength).
3. The Screen category (to see total Screen On time).
4. The Cell Standby category, if present (to see Time Without Signal).
http://forums.androidcentral.com/gen...d-central.html
You might have to install a 3rd party battery monitor, like GSam Battery Monitor, to get the Cell Signal Strength graph.
