if its only a few leds it should be no problem.

I have seen G.I circuits fail like this with age and general use.

Just a few hints and tips below, depending on what you decide to do.

When you repair or replace the board you must make sure the pins are crimped correctly on the wires and they of a high quality.

If you repair the board check that the remaining G.I. fuses are not corroded on the area that is contact with the clip on the fuse holder. if they have replace the fuses and check if there is any corrosion on the fuse clips on the holder, if it has migrated to the fuse holder clip then replace the fuse holder. any corrosion between the two surfaces can cause resistance which creates Heat. The heat in time may cause a dry solder joint which creates more resistance and more heat until the plastic melts on the fuse holder and the board is damaged by the heat. I have seen the end result of this many times.

Also re flow the solder on the remaining fuse holders, if the joint looks like it has become a dry joint it is best to remove the old solder first and then resolder, you will get a better connection this way.

And don't forget the headers, make sure they are in good condition, if the solder joint has over heated it may better to replace the header because the solder some times won't take properly to the pins.
If any of the headers need replacing then replace with the high temperature type headers and make sure you flow the solder right through the board so there is solder on the top and the bottom solder pads around the pins.