If it is electronic (not cable driven) and both the speedometer and odometer are not working I would suspect the VSS (Vehicle Speed Sensor) is faulty. The VSS can be found on the tail end of the transmission. If only the speedometer doesn't work I would suspect the dash cluster has to be replaced with a new or good used one. Really need to know what year S10 Blazer you have.
fix vapor lock on 1998 chevy s10 2.2 liter 4 cylinder
Ain't no fixin it, you have to replace it with a new one.
what does it do
will a 245x75x15 fix a 2001 chevy blazer 2dr
there are many things that could potentially be wrong with your case. can u engage your 4wheel?
u have to take the hole thing apart to get to a small screw to take the switch out
Need to know if the blower is working or not and if the air coming out is hot, warm or cold.
check to see if your transfer case has to much fluid in it . remove upper plug .
trying to fix simular problem
Just a suggestion, check your trailer lights harness for corrosion. They were taking the dash lights down in my chevy.
P0420 = Catalyst Efficiency Below Threshold (Bank1). Sounds like you probably need to replace the Bank 1 (drivers side) Catalytic converter.
take it to get fix