That the light does not work makes me think the problem is with the thermal fuse or door switch so start at the other end of the motor circuit to find the problem.

Again use the most sensitive meter scale.
Attach one meter lead to the Neutral prong on the line cord and leave it there.
Now work your way back through the motor circuit.
Neutral (white) at the terminal strip should be 0 ohms.
Both sides of the thermal fuse (on the blower) should be 0 ohms.
C and NO at the door switch should be o ohms (switch closed)
Keep the door switch closed.
1 (white) at the motor should be 0 ohms.
2 (purple) at the motor should be a couple ohms (motor windings).
5 at the timer should be a couple ohms.
With the start switch activated M and L at the timer shoulds be a coupe ohms.
Also L1 at the terminal strip and the prong on the line cord.

The above is the motor start circuit.

You are welcome.

Could you post what the problem actually was as this may help others with the same unit and symptoms