Ipod Touch 4th Generation Battery

Hello,

I own an Ipod Touch 4th generation. I think I may be having Battery Issues.

I have about 20 Apps downloaded on it (not including the factory default apps), and 33 songs. I do Imessage my friends and Facetime them too.

But, the problem is, everytime I play a game, like Temple Run, or Icecream Jump, the battery seems to go down like 5% (I have an App called IBattery Free, which tells you the percent of your battery).

I will need to charge my battery every single day. I keep my brightness all the way down, turned off location services, turned off notifications (But I do leave on Imessage and Facetime), and I put fetch mail to manually. I also wait until I see the black plug sign in the battery icon (to make sure its fully charged). There is an IOS version available: 6.0.1

Should I upgrade to that IOS to see if it does anything? Also, it seems that, I am connected to wifi, then I put the Ipod to sleep, then I wake it up again, then it shows that I am not connected to wifi, but, after I enter my passcode, the wifi shows as connected?

Help would be greatly appreciated!

Thanks,

Pizza98704

P.S. I do keep it on overnight (on sleep) with wifi on.