Rob, I'm glad you solved the immediate problem and now have heat! Hope you are enjoying your Thanksgiving.
007 has pointed you in the right direction. Also, as he mentioned in his last post, there are two different types of electronic Duo-Therm t-stats, one has 4 buttons and the other has 5 buttons. You can find manuals for them at the
same site he pointed you to.
If you get to the point of replacing t-stats and control boards you will have to know this. If I understand correctly, there aren't many 4 button t-stats available, but there are some resources I've seen posted recently who rebuild them.
IMHO, a good next step is to confirm that the wiring from the furnace to the heat pump control board is good. You can do this by disconnecting the wires that are connected to the two blue wires from the control box in the A/C unit and shorting those wires together (the wires that were connected to the blue wires go to the furnace, basically one goes to a +12VDC source and the other goes to the wiring that controls the relay you re-installed).
Access to the wiring is from the roof, you will have to remove the cover on the roof (4 screws). If you only have one furnace the wiring will usually go to the Zone 1 heat pump which is usually the front one.
To get to the blue wires you will have to remove a metal cover located on the right side of the roof unit.
CAUTION, there is 120VAC present when you do this, make sure your shore power is off while you are working in this section! You should be able to run your furnace with shore power off.
The furnace should start and run with the wires shorted and stop when you open the short. At that point you will know if you have a wiring problem or a control board/t-stat problem.
There is a lot of good troubleshooting info in the manuals as well, I did not notice this particular method but it is probably there.