I would really suggest reaching out to your professors and TAs as soon as possible. You don't need to tell them exactly what is going on but tell them there is some extreme family issues happening and if there was any possible extensions of deadlines. Professors for the most part are extremely understanding so while more information is better, just explain that your worries are making it extremely difficult to complete assignments on time and I'm sure they'll understand. That being said, if you write one email, you can pretty much copy and paste it to everyone else (which is what I did when I had my own family thing going on) and even though it was pretty emotionally exhausting, the professors were willing to meet with me or just gave me extensions via email. I would suggest copying both professors and TAs and see what happens. They may be able to provide more advice particular to your college/major.

Best of luck!