Make sure that when you do the 1041, you indicate the GROSS rentals, then the expenses to get to the net. This is done on Schedule E
The trustee of the estate determines if the funds are distributed to the beneficiaries or not.
Box 11 of the K-1 is for the final year of the estate, so I am not certain what you are asking about. There should not be a carryover from the final year.
I'm confused. If you have an amount as DNI on line 7, why would you NOT distribute it if this is the final return? The final return should close everything out.
Everything needs to be cleared out of the Estate on the final return.