my pick-up has a automatic trans.

What is your question?

I was pulling a 24ft.stock trailer up a long grade and a white puff of smoke came out from underneath the motor and we lost pulling power.We stopped and shut off the motor and there was some burnt fluid leaking from under neath and it seemed like trans. fliud.We had a wrecker pull it into town and we had a mechanic look at it.He discovered one battery had a two broken posts so we replaced it with a new one.He filled it up with trans. fluid and we took it for a drive.It ran fine.I drove home 350 miles away and made it home without any problems.My question is was my problem caused by the battery?