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Of course you do rely on feel to see how much good you can do with the screws, Sometimes I might use a plasterboard jack to push the ceiling up or make something with a board and a long piece of wood.
There must be quite a few tutorials about it online. I only offer it as a possible route out of much larger works in case you are lucky.
I don't usually manually recess the washers, as long as you have a decent grip in the joist it should be possible to nip them up. Then tape the remaining crack as well.
As to the general condition, it cracked over the weekend. It was previously warped. But I'll have another look. I assume it's just another couple of screws in the other places it's lifted, provided it's not too extreme?
Also cheers for the reply!