Thanks, Old Buscuit, for the quick and detailed reply!
The Fan DOES come on, I do not hear a click. I have fussed with the thermostat over and over, any combination I can think of, no heat.
I'll need help with the rest of the diagnostics, which likely means a visit to the service center, but that's ok, just needed to know if there were any other options besides troubleshooting.
Is the pilot ignitable if I open the outside panel of the furnace? Hesitant to do so unless there any user-accessible parts inside.