Hi,
"Will you please accept me after I finish my one year MBA (full-time) from here? Please do reply because I’m very much looking forward to get into University of Hampshire."
"Will you please accept me after I finish my one year MBA (full-time) here? IPlease reply because I’m very much looking forward to getting into the University of Hampshire."
There are a number of style issues here. In a letter, you might write these sentences at the end, as
"I hope that you will accept me after I finish my one year MBA (full-time) here. I look forward to your reply."
Best wishes, Clive