Welcome Ryhan!
This is a great place to be if your goals include speed and vert. I recommend you read this:
http://www.adarq.org/forum/performance-training-blog/free-training-free-customized-athletic-programming-free-online-coaching/Once you have read that, please head over to the journal section and create your own training journal! Adarqui can best help you if your first post in the journal contains a completed version of the form in the thread I linked above.
Good luck with your training!
You have a strong squat for your weight.
"Ive been told by my coach that I run slow because my pushing is far stronger than my contraction."
If that is verbatim what your coach said, that makes no sense at all. A contraction is required for any movement, pushing included. Perhaps he meant rate of force development (RFD) or reactivity?