Chosen Solution
I think it would be extremely difficult for a person to replace these with standard soldering tools. I think you would need some very specialized equipment to pull that off. I also think it’s going to be costly to have a pro do it. If the metal conductors are still there on the three broken sockets you should be able to try a rig something up that will hold the ram in place. If the metal conductors are not there and have been ripped off the board then you are probably not going to be able to repair those. I would think the best way to repair would be to see if there are any available on Ebay or some other place that sells used boards. Post some pic’s, of your rig and the damage that was done. the community might have some idea
well on the positive side it looks like all the connectors are intact so really what you need to do is figure out a way to keep the ram dimms in place. I think what I would do is install the bottom ram dimm and then put something like a rubber band that has been cut in half so there is a buffer between the bottom and top ram dimm and then install the top ram dimm so that when its in place it puts enough presure on the bottom dimm so that the bottom ram dimm stays in place. Than I would make a plastic strap that holds the top ram dimm in place. it looks like you have a screw on each side of the dimm that you might be able to use to hold the plastic strap in place. Let us know what you come up with.
