Buy several 3" long screws(number 8 size).

unscrew one screw in the top hinge on the frame side. Install the 3" screw. Then replace a second screw in that hinge.

Replace a couple in each hinge, that shoule take care of the problem with the loose screws.

For the swinging problem, remove the pin from the center hinge. If you have a concrete step, lay the pin at an angle against the step and hit it with a hammer hard enough to slightly bend the pin. Do not bend it too much, because you will need to reinstall it in the hinge.

For your situation, you may need to bend two or even three pins.

handymac gave you perfect advice, and it's hard to improve on it. The only thing I will add is that you may need to put in a pilot hole for the 3" screws. I, too, suspect that you have short screws and they are close to stripping out. However, you may have trouble driving 3" screws all the way in unless you have a pilot hole. Just don't make it too big in diameter: the diameter of the drill bit should be the same size as the center shank of the screw (i.e., the part you see when you hold the screw up to the light and ignore the threads). You can pick the right bit by holding bits up against the screw, and choosing the one that best matches that shank.