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I just wouldn't trust that the neighbour had Building Control approval if they haven't bothered to get a party wall agreement. Having seen some awful and sometimes dangerous loft conversions in the past, I don't really trust people to do the right thing.
At the very least, I'd ask building control if they inspected the property as it only takes an email. I'd also take photos of the existing movement, and see if any old photos exist.
the plaster cracks will almost certainly be below where the steel supports have been inserted into the party wall. you would have little to no redress imo - just one of those things. patch it up and get on with things.