I bought a camera 60 d with only 1000 shutters. In the beginning i am having some issues with battery timing. Now i am facing another problem that on manual mode my shutter stucks in upward direction. But it auto mode it works perfectly.
From the behaviour you describe, I definitely think your battery is dead. It doesn't explain your "shutter" problem.
It sounds like you may have "mirror lockup" enabled. In "Auto" mode, the setting selected for mirror lockup will be ignored. In Manual exposure mode, it will be complied with.