Bad door hinge pins

Hinge bushings are supposed to be tight and pounded in, otherwise they would spin and that's where the wear would take place. The pins also need to be pounded in. Any play there would let the door sag. Those should be lubricated first. A good product is Chrysler's Spray White Lube. It's especially good for old hinges that are fully assembled. The grease sprays on very runny. The juice soaks into tight places and takes the grease with it, then the juice evaporates and leaves the grease behind.