trunk release broken

[Cannjen]

I have a question. My 2009 Yaris had a broken hatchback release and the light on the dash indicating an open door was on for a few days before I could get to the garage. In the morning on the way to the garage my car wouldn't start. After towing it to the garage, the garage said it needed a new battery and I questioned whether the problem was the broken hatchback release draining the battery, but they said no. They ordered a new hatchback release part and they put in a new battery, did a "reading" on the battery and decided it also needed a new alternator. They put in a rebuilt alternator and said the hatchback part would be available in about a week. I drove it home and a few days later after not driving the car it wouldn't start again. I called them and they said the problem was the faulty hatchback release which apparently had been back ordered and they will have in a few days. Question is: did I really need the alternator rebuilt?