There is a lot of thought that needs to go into this. First as Chris said, you need your position, then you need to decide what you want to work on. Faster and quicker (explosive) are two different things from my point of view. You need different exercises to attain each.
Regardless of your position, you should be working on your core and your lower body for football. Yes, upperbody is important, but those who neglect there core and lower body in football will not make it far unless they are athletically gifted. That being said, focus on squats, deads, cleans. Make sure you do compound movements as well for upper body, like bench. Thes are all essential to strength.
As for running, there is a multitude of different things you can do. you need to do sprints and work on conditioning yourself to running sprints over and over. I would hold off on running an excessive distance, such as 5K etc, as it actually can hinder you from what you are trying to achieve in football.
-You can do first step explosion drills, from your position start...meaning starting from your football position and exploding forwards for 10 yards. -
-You can also work on starting by using a 2 point stance leaning forward until you feel like you will fall and explode forward for 10 yards. These are very beneficial.
Sprinting form is also essential, in terms of arm amplitude, efficiency, swing and leg drive. Make sure you are running correctly on your toes and including these, it all helps.
A few other things:
-Plyometrics are needed as well. Does your school have plyometric boxes?
-Do you have a ladder, if not mark one off with tape. practice drills to work on foot speed.
I know this is a ton of information and just spit out there. All of the things I mentioned above are designed to be used together to create overall explosion and make you faster. They can be made into a program where you progress and do different numbers of sets. I have a few old speed workouts from hs and college if you would like to see them. PM me if you are interested.
And...don't forget to warmup and do a cool-down circuit after you do any type of speed training to prevent injury.
__________________ Strength is understanding that your power is both physical and emotional. - Henry Rollins | 
BUT the amount of HEART you put into it"
