Re: Your responsibility to get it to me
"To get something to someone" means to ensure that it is delivered to them.
I need your report by 5pm. Can you get it to me by then?
I want to buy my mother something from Canada for Christmas, but the company has just told me they can't get it to me in time.
My boyfriend left his hat at my flat on Saturday night. I'll get it [back] to him next week sometime.
You are right with your interpretation. It is your responsibility to ensure that you deliver your homework to the teacher. The teacher is not going to chase you for it. If you forget/fail to get it to him, it's your fault.
Remember - correct capitalisation, punctuation and spacing make posts much easier to read.