Well pressure gauge reads 0 PSI
good job at getting it running again. I have seen contactors fail in a short period of time when the pressure tank bladder failed also if there is a starting capicator in that control box it can be failing causing the above problems with wiring and contactors, As for the pressure gauge these are bordon tube gauges a bent hollow tube filled with water, the gauge works because the outside of the tube has a different force than the inside once the gauge freezes it usually distorts the gauge to the point it won't work, so it is time for a new gauge. You should be looking into the start / run capacitor that may be the root cause of the damage to the contactor/ wiring .