I could not find any info on this unit, so the below is just general info.
Check in your control console to see if it contains a wiring diagram.

The click you hear could be a push to start relay clicking in.

Your problem may be that the thermal fuse (cut-off) on the blower assembly has blown.
This is a white device with 2 wires.

Unplug the unit, remove one wire from the fuse and check the fuse with a meter, should be 0 ohms.

The jiggery pokery method is:
Unplug the machine
Remove both wires from the fuse.
Short them together and tape them up so they cannot short to anything else.
Plug the unit in and give it a try.

If blown. Replace the fuse ASAP as this is a critical safety device!!!
Running without it could cause a house fire.

The most common cause for this blowing is a dirty vent system or the vent louvers not opening.