The relay board is braindead simple that is why it seldom fails.
It is just thick copper traces attached by rivets to connectors.
But I had one that did and it wasn't a hard/permanent failure. It would work
and fail intermittently.
It turned out to be a simple problem but not obvious at all.
It was a trace that had cracked and worked its way loose from a rivet
that is attached to the fuse holder.
Click to view attachment--- bill
Below is some information from a previous post I did about this.
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As far as actually testing the actual relay board,
the method that I've used is to "yellow line" the board.
Start by making a zerox copy of the relay board wiring diagram
from something like the Haynes manual page 147 or 161.
Then get a ohm meter that beeps when continuity is zero.
I have a small digital unit from radio shack that has a continuity
setting.
Then "ohm out" each wire connection one at a time and as you
test the continuity between each point.
As each trace check out, use a yellow highlighter to mark each
trace on your zerox copy.
NOTE: this will only find "hard" failures and will not find intermittent
failures which can be quite common where the rivets attach
connectors to the traces.
If you want to visually inspect all the copper traces you will have to
remove all the factory tar from the board.
I found that this can be done fairly easily with a dental pick and
a small screwdriver. It helps if the tar is cold, so if its not cold
from your garage, put it in the freezer for a while to chill the tar
which makes it alot easier to chip away from the board.
Once most of the tar is removed you can visually inspect the traces.
To solder the rivets to the traces to make things really secure,
you'll have to clean the traces/rivets really well.
For a quick check, you may want to check the rivets/traces directly
under the fuse holders or those that were exposed to the air from
chipped away tar first.
Those seem to fail first because the heat
from the fuses heats up the tar which causes it to fall off and exposes
the rivets to the air which then causes them to oxidize and stop
carrying full current load to things like the fuel pump.
Good luck.