Would dropping it cause that? I know it can potentially break the magnet, but lots of pickups can still work fine with a broken magnet. You'd be surprised how many old pickups in old beater guitars have pickups with cracked magnets.
Check your resistance readings first non-split as a full humbucker. Then split the pickup and see what DCR readings you get split. I suspect your coil splitting switch might be going bad. Those individual coil wires are quite thin and delicate and you can damage them when stripping the insulation causing micro-breaks of the wire that then end up getting more resistance or breaking completely under the insulation.
If the wires are ok and DCR readings are fine I'm not sure what else it could be.
Would dropping it cause that? I know it can potentially break the magnet, but lots of pickups can still work fine with a broken magnet. You'd be surprised how many old pickups in old beater guitars have pickups with cracked magnets.
I have a couple current production JBs and all work great but an older one I have in a guitar hit the floor pretty hard and yeah it's been microphonic ever since so it may be that