Did I successfully terminate pregnancy with pills?

Yes, a ruptured ovarian cyst during pregnancy can cause bleeding. Talk to your doctor for further evaluation 

Sometimes taking emergency contraceptive pills like Unwanted 72 can make your period come late, this is normal. Anxiety and stress also play a role in postponing periods. Give your period a week or more, it should show up. 

Yes its possible, but it is a relatively new procedure and success rates may vary

An abnormal vaginal bleed after menopause could indicate the presence of uterine cancer or endometrial hyperplasia and hormonal imbalance. I recommend that your mother consult a gynecologist immediately. A gynecological oncologist is a specialist who can diagnose her in more detail and prescribe treatment if necessary.

In some cases, doctors may refuse hysterectomy due to ethical or moral objections like in sterilization surgeries. Some doctors may also be bound by institutional or legal guidelines that restrict certain surgeries based on age, medical necessity, or other factors.

It is quite normal to have a slip in the monthly cycle even if you didn’t get involved in any sexual activity. Stress, drastic weight changes, or changes in your daily schedule can affect your period. If the missed period is the only symptom you are experiencing, everything is probably okay. Your periods should return in a few weeks without any intervention. You need to take it easy and eat a balanced diet; also do some physical exercises and ensure to get enough sleep.