Here's what I see. I seriously doubt there's anything you can tell me about this board that would be repairable anyways. The board has no surface exposed tracks. There isn't a pile of silver solder going here and there, like I've seen at the bottom of a power inverter for instance. This is a tiny daughter board, all of it blue plastic, with seemingly some underlayers of darker blue plastic. The blue tracks around my holes are few in number.
There are some green scorch marks on the board, and one of them is part of a blue track. None of the green scorching looks severely crisped, more like discolored and slightly bubbled. I suspect this board had some kind of sealant on it before I got aggressive with it, based on how the solder would bead, roll away, and not stick to anything. But maybe that's just what solder does and I'm a noob.
I definitely have solder scraps to clean up. They were the price of my learning curve and/or getting the job done. The back plastic holes are a bit gouged from the cone tip, but not too badly and they don't touch each other. The front holes are in better shape, they still have their oval integrity. Hopefully I did not kill the copper layer going through the board. I made it a point to never use force on the pins I was trying to remove, because I knew that the surrounding copper that completes the join could come with the pins. That part of my technique research was good at least.
I've run a fair amount of heat through the board, but I don't know how much in the scheme of things. Hot enough that at times I couldn't hold the board with my fingers. In the face of frustration, I concluded it either has to be robust enough to survive the heat, or just die because it's too finnicky and fragile to take my primitive hand soldering. I really didn't see what I was going to do about it other than order a $70+ temperature controlled soldering iron and wait, or some Chip Quick like solvent and wait. I really don't have the time and interest to wait at this point, I'm supposed to be hitting the road in 2 weeks and I need to get this job done for my neighbor if it's going to happen at all. So I hope this board could take some modest heating. I made an educated guess that the board is tougher than it looks and that I needn't worry about babying it. If I was wrong, oh well. My neighbors already wrote off this laptop. Even if I bought better tools to deal with the problem, maybe I had already done the damage anyways, and it would be a waste of money.
The logic I've applied to this project, is I was afraid of my carburetor once upon a time. It kept me from rebuilding it, and that turned out to be baloney. It was fairly easy.