You should check up on your typos here and there :) Use the Microsoft Word spell/grammar checker - it's really useful.
"Though my parents were opened minded and supportive, they were very strict
and concerning about academics."
"Occasionall
y, though, I would skip my homework to talk..."
Occasionally though, I would skip my homework to talk on the phone or play video games and my parents threw fits because I wasn't prioritizing what was most important. I was confused. I had the choice to do what I wanted to do. Why are they angry?
I'm a little doubtful that you were asking yourself this. I'm sure you understand earlier why playing games instead of doing homework wasn't the best thing to do. :) I'm sure you could state the question in a different way, like: "I was only going to play for ten minutes." or "I just wanted a little break from work." Something like that. But not something blatantly "child-like" (no offense meant :) ) as, "I had the choice to do what I wanted to do."
Do you understand what I mean?
"The evening would have been perfect if my sister didn't ask my mother an innocent and harmless question..."
The evening was ruined by a harmless question? I think a better word choice is needed. Maybe choose a different word for "perfect" because I'm not sure what you mean by a perfect evening. Maybe "quiet" or "uneventful?"
"They wanted me to be the person they wished the
y could be."
"I believe the best way to do that is to keep working hard, be accepted to a prestigious college, and become a happy, successful adult."
The first part is good. However, readers might be skeptical at the second part and unclear about the third part. By saying, "being accepted to a prestigious college," you might sound desperate to the AO reader, so you might want to reconsider that part. For the third one, you don't really tell the reader what you exactly mean by successful. You should try to clarify your definition of success.
Nice anecdote though! :) Must have been a very enlightening moment.