So now, only 1.5 weeks later and 3.5 months before the flight AA changed the flight times again, departure 6:10 pm instead 5:45 pm...

1.) Now we do have 3:05 connection time (in case CUBANA is in time). What do you think, possible or better fly from CUN to MIA the next morning?
2.) My experience with AA is very little and I'm shocked about all the changes. Is this normal with AA. It's hard to plan a trip when they change the departure times every 1.5 weeks.