question about conditioning for football

so yeah i have football workouts mon-thurs for 2 hours each day and we work out for 45 min and than run for an hour one day sprints next day long distance and i know that will get me in shape but my question is...

should i be running on my off days so i can get in better shape so im not pukin after each workout?

see im fine in the weight room because i been lifting real hard in the off season but i never ran long distances and every 2 weeks we have to run 2 miles in 14 min. we ran our first one just yesterday and i was dog tired thought i was gonna die so if you have any advice please help me

5/3/07
weight-221
height-6'1
bench-315
squat-425
incline-285
deadlift-425

goal for august
weight-230-245
bench-365
squat-475
dead lift-455
incline-315

keep running and get in better shape and dont eat alot of **** junkfoods

currently gaining weight weigh 145 trying for 150+
bench 225
squat 260
deadlift ?