Imperial College London Choices

Hello all.
I am from India and wan't to apply to imperial college london for engineering as an international student this year.

Performance so far:
TOEFL ibt 110/120

SAT Subject tests
maths level 2 790/800
maths level 1 760/800
physics 800/800

I got 93% in my grade 10 ( central board ), and presently in grade 12 (central board).
I am national level cyclists and won a gold, a silver and a bronze in state cycling championships.

I cleared 3 stages of Indian national maths olympiad ( only 100 students selected all over india)
Predicted grades in A levels:
Maths A* , physics A* and further mathematics hopefully A*

My first choice is aeronautical engineering (MTech) , 2nd choice is mechanical engineering (MTech).
I am applying to Imperial College and university of manchester, so out of first 5 choices I will choose 4 choices at imperial and last at manchester.
There are courses with a year abroad at imperial e.g. in aeronautical engineering. Are courses with a year abroad more competitive than the rest? Tell me which one I should choose ( year abroad or other).
I also read that a small proportion of studetnts are sent to MIT for 3rd year ( Is that possible only with a year abroad program or any other)

Also tell my chances of getting in.
Thanks