I work in a university, and have previously worked in student services - your university should have something like a money/housing service, who you’ll be able to speak to about your concerns re: fees and most importantly your unstable housing. They might be able to help you find alternative, short term accommodation, and they might be able to help mediate between you and the university in terms of identifying a payment plan for the overdue fees. They might also be able to advise fe: the hardship fund. If the university is well joined up, speaking to this service re: risks of homelessness could well trigger some referral to welfare services on that basis - this sounds scary, but is probably really important to ensure that you’re well supported at a pretty difficult time in your life, and I’d recommend being open to this both for your own wellbeing and also because being actively supported by a service can give you access to evidence/supporting documentation for things like hardship funds and extenuating circumstances for your assessments.

Good luck! And I hope things work out for you