Good afternoon Mr Red, Sweden here...
This is easy to repair but first things first... The red wire is + (positive) and the black wire that comes from the driver is - (negative, gnd or ground)
To make it as easy as possible you need to press out the brass-heat sink that holds the diode/driver. To do that, turn the diode housing upside down,compared to the picture. The laser diode should point upright and the driver with the black wire downside to the table.
Use a socket that fits (1/2") and a medium/small hammer and tapp easy untill the brass sink/diode/driver comes of.
When you have the driver out of the housing it's easier to identify where to solder the red/black wire.
I have a laserpointer that looks very similar to yours and in my case, the driver is grounded to the housing in the front of the driver and both the red/black cables are soldered in the rear end of the driver.
I hope this is enoug information to start with, and don't be too hard to the young lad, invite him and fix the laserpointer together instead of getting angry.
And if you need some more support, just contact me and i will help you and your son out...
Best Regards
Nils-Håkan Stenspränge
Sweden