It's the combination of factors that would make me lower what I'd consider paying and inform the surveyor so they could all be thoroughly checked and covered in the sea trial. I'd want a more extensive sea trial than normal and want to recheck everything structural and all mounts after taking some sizable waves hard in the sea trial. No simple riding around in glassy smooth ICW. Out in the ocean and hopefully a bad sea day.
It may be better than it was before, but it's still been through a couple of different forms of damage and I'd consider that in my offer. If it was a car and all this was on the Carfax, it would sure be valued lower.
Also, I'd have to ask who built it and their quality. A top quality boat will withstand damage better than a poor quality one.