Re: Back Rent on Life Estate
Mom is entitled to properties use, or to rents from property, until her death. She would also be responsible for reasonable upkeep. If the building is left vacant, she is simply not exercising her rights and is entitled to no additional benefit.
Re: Back Rent on Life Estate
The owner of a life estate has the exclusive right to use and enjoyment of the property, including the right to collect rent. You do not have a present estate in the land - your remainder interest is a future estate - and admit that you paid (and owe) rent. The fact that you paid rent to your father (who had no interest in the property) for a while, and don't want to pay your mother the rent now that your father has passed, is irrelevant to the fact that the life tenant is entitled to rent.
You need to determine your obligations to your own tenant - if you turn the keys over to mom and she attempts to evict them during their continuing lease term based upon her not having authorized their tenancy, they would have potential recourse against you. If they are month-to-month tenants you can give them proper notice, give your mom proper notice, and turn the property over to her at the end of the notice period. (Or you can verify that your mom will continue to rent to them, and give your mom proper notice that you're ending your own role and that she will have to deal with them directly as their new landlord.)
Mom needs to figure out if she would rather have you control and manage the property, or if she would rather take on the full obligations of her life tenancy. If you are removed from the middle, she will be obligated to make sure that the property is properly insured and maintained.
I suspect that there are more issues here than we known about, otherwise why the "HUGE bills", and you really do have to clarify these issues with your lawyer (or his successor).