Air Conditioning/Electrical Issues?
 

So I have a 2016 Mazda6. A few months ago I started experiences issues with my air conditioner. For example, when I would start the car sometimes the AC wouldn't kick on for about a minute. Other times I would turn the AC all the way up and only a trickle of air would come out, then randomly the air would blow full force. About a month ago, less than 2 years after buying the car, the batter just died. I took it to the dealer (car still under warranty). They replaced the battery and said they thought that was the issue because the AC is now working fine. Well within a week or I began having the same problems with the AC. Also, I for a check engine light, and when I checked the fault code it said there was a problem with the transmission fluid sensor.

Could all these problems be related? Could there be an electric issue with the car? It's been a the deal for about 2 days now and not sure what the problem is.