Need advice on 3 concurrent situations

So, I'm in a rather precarious situation (albeit temporary) that could have very bad consequences for me, if the outcome goes south. So, I need some community feedback if you've been in my situation, or if you think you can give me constructive advice.

1st situation: My grad school course

My mother's dementia and health deteriorated quickly around the 2nd week of this 7 week course in my grad school program. I let the instructor know what is going on, and she has said she will be flexible with me turning in late assignments.

HOWEVER, I am now 2 weeks behind with 2 weeks left of the course, and it is a heavy-writing course for grant writing. I can't make up missed assignments (6 so far) plus complete the last two assignments in the next 2 weeks with 2 weeks before the grade deadline of the university.

I am in over my head. I'm still dealing with my mother's declining health and not working a full-time job (please, spare me criticism of how YOU worked and went to school at the same time or I'll just put you on ignore).

Advice needed: Should I ask my program director for an extension in person this week? I missed the university's W - withdraw deadline so I would have to get special permission and complete another form so that my fall financial aid is not withheld when I register for another course in the fall, after I complete this 7 week course.

2nd situation: Dealing with my mother's overbearing neighbor/pseudo-caretaker

Today the movers came and took EVERYTHING out of my mother's one bedroom apartment, except the computer/computer table, my daybed, my closet of clothes, my kitchen dishes and pots and pans. But, the rest of the 960 square food apartment is empty minus some tv stands that are old, a couch, and some other nick knacks.

My mother has a VERY overbearing neighbor in her 55+ building, who is not legally allowed to enter the tenant's apartments, but has a key to do so anyway, as she took it from the building caretaker who is a very passive man and lets this nasty woman do whatever he doesn't want to do, maintenance-wise. She is very bossy, very snarky, very manipulative and very blunt. If you say "no" to her, she sneers at you and does what she wants anyway.

Advice needed: Do I tell this awful woman "Sorry, I have to prioritize my grad school studies and I can't allow you to come into my mother's apartment, to take her things left behind, to sell at the building garage sale this Thursday. I'm not getting up at 7 a.m. to help you move the couch and tv stands out to the parking lot. I'm not going to do the garage sale b/c I already hired a junk service to take the things away courtesy of my brother who paid for it."

This woman left a crazy hand-written note on my mother's door this morning with specific instructions I'm to follow for Thursday's garage sale. No way in HELL do I want to do it. I have to deal my grad school course instead. How do I deal with this insane woman?

The caretaker guy is afraid of her. And she has a key to everyone's apartments here. So even if I tell her "don't come in my mother's apartment," I wouldn't put it past her if she did anyway.

But I did hire the junk guy to pick up everything Wednesday so she wouldn't have anything to take down to the parking lot. That seems to be my only power play here. Any advice? I hate overbearing people. They are mean, wicked, and are bullies to everyone. She's a real *****.

3rd situation: Finding my own place while i live in my mother's empty apartment for the next 3 weeks.

I have applied to several roommate situations already, and to several studio apartments and presented my grad school award letter as proof of income as I have no full-time job (again, please refrain from lecturing me on not having a full time job; I'm fully aware I don't have one, I don't need to be criticized for it). I'm worried I will be turned down b/c I have bad credit (yes, had I the money I would pay down my debts that are in collections to get them removed from my credit report, so, you don't need to tell me how to do that), and no full time job, but am a grad student.

I can't live in a dorm b/c I'm too old, and there are no dorm rooms available. AND, if there were and I wasn't too old, my entire tuition refund check would be used to pay the dormitory rent, so I would have no money left over for gas, food, or bills. So, living in the dorm is not even practical for me, financially. I need to find a place where I can pay rent with a portion of my tuition refund check that I get every semester.

Advice needed: Should I just try to pay the exorbitant weekly fees required by short term stay apartments instead, while I try to get a job, and try to resolve my current 7 week grad school course dilemma?

Or, should I keep trying to find a roommate/my own place? I thought about finding a cheap motel to rent a room in. My dad did it when he was a grad student in the 1960s and he went on to become very successful before he died. So, nothing is beneath me, when it comes to shelter right now.

I'm just so burnt out, after looking after my mother and she is finally in a long term memory care place now. So I can stop focusing my energy on that situation's outcome as she's at a great place that will take care of her now.

I'm really exhausted and it is weird to live in my mother's apartment that is nearly completely empty.