To cut the chase a bunch, it is sometimes good to skip to the things that fail often.
In this case the resister pack is that suspect.
It is designed to have power come to it on various wires and then go through the resister pack taking different routes to give more or less resistance depending on the switch setting for if you want slow, medium, or high.
One way to cut the chase is to verify that power is coming from the speed selector switch and actually gets to the resisters.
If no power is getting to the resister, then you have to go back left on this drawing to find where it is failing.
But if 12Volts is getting to one of the lines going through the pack but not coming out, the pack is bad.
This pack is one of those simple things which has not been "upgraded" to the point we can't see what it does, so we can often just look at the connections and follow the path though the various coils of wire (springs?) that make the resistance and see where one is broken!
The third thing to check is if the power gets to the pack, through it but doesn't get to the motor. That red wire out of the pack to the motor may just be broken but the pack is a good suspect!
Often found screwed directly on the housing of the blower where air passes over it.