My husband has a Tab 3 8.0 that is about 6 months old. The battery charges and drains in wild spikes... It will be at 30% and then suddenly charge to 80, for example. Here's a picture of the battery usage.
OK. I just wanted to confirm GSAM wasn't suffering a bug. Since the OS is kind of high, have you tried a cache clear in recovery? I am guessing you got an update to the OS recently?