I had similar issue with my unit (same furnace). Here is what my issue was: the clicking you hear at the furnace is the motor relay picking up. The furnace blower should start at this point. The motor internal brushes were not making contact properly on the rotor, so I had to spin the blower manually using a short piece of wood for it to go, this was an ongoing issue until I removed unit and fix it properly. If you decide to try this, I would open front cover of furnace first, then put thermostat on heat and you will hear the "click". You need to reach in with piece of wood and spin blower fan manually, be careful as the blower will start right away if this is the problem. Blower turns toward front of unit. I have posted pictures of furnace internal components. Be careful and if you are not confident with this, then don't do it. Another way to spin blower is to use compressed air and push air through the intake air supply to furnace outside.
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