Those pumps are notoriously prone to failure. I've replaced mine twice. The second time I installed a separate float switch and pump as opposed to the all in one. One thing I have found is that hair gets all wound up along the shaft causing it to not...
Ricardo what year is your 330? Mine is an 09 and the head shower faucet turns left and right to adjust the hot/cold and the faucet knob tilts up and down to turn the shower on and off.
So, I'm not trying to sound mean, honestly. But do you know how it's wired? In your post you say starting battery (singular), and in the comment it's 2 per motor. I'd make sure you know how it's configured first, that's key. If in fact you have 2...