Home button connector one pin is broken.

Sometimes it is possible to use fine tweezers to bend the damaged pin back in place but not usually. The plastic frame tends to also be damaged and if that is so the ribbon cable may not snap in properly. If you cant bend the pin back then full replacement of the connector is required. If you have a steady hand and the money to acquire the needed equipment it can be done with fair ease. This would most likely count as a micro-solder repair so if you are not experienced in soldering I would not recommend trying this yourself. I have known some to do it with only a heat gun but that carrie's significant risk. I use a microscope and hot air rework station myself when this kind of problem arises.