Well first of all, you need to maintain a 3.0 GPA or you go on probation, which means no TAship, which means no funding. I find it hard to believe UConn would guarantee you 5 years of funding without any conditions. Unless there are serious issues with funding at the department, I wouldn’t worry too much about that. But it may be very competitive to get TA/RA assignments for the summer, and you may need to find some sort of summer job (though that can be tough if you need to take a class in the summer, or study for quals).
It’s not rude, but before emailing them, I would look for the department graduate handbook. That would likely answer most of your questions.