For correcting mangled switches it mostly comes down to putting them back to their original condition.

Original condition means aligned properly for "make" or "break" or "make'break" orientation with about 1mm of wipe between the contact points. Your goal is to get them set up like they were originally. The non modified switches adjacent to the mangled switches will give you some guidance on what the set up needs to be. You can buy parts from Pinball Resource to make the leaf blades you need here:
http://pbresource.com/pfswitch.htm#common

measure the thickness of the blades with a micrometer to be sure you are getting the correct stiffness.

Where the switches are broken off and have some wire threaded through them it looks like someone was trying to modify the function of those switches.

That looks like a Gottlieb 4 Square pinball. If I'm correct the mangled switches might only be for lamps and won't be the biggest issue to game play.

Good luck