Everyone, I realize this is and old thread but I thought I'd share my findings.
I was able to gather an additional control board for this rare dometic/duotherm penguin ii thermostat system.
I was able to test my keypad and the extra keypad provided by Terry W. with 2 known working control boards.
It appears the control boards and (not the keypad) fail. When they do they cannot send power to the keypad.
All components on the board are still available except one long ic at the upper right corner (near the 12 pin ribbon cable ) made by national semiconductor. When looking up that part number it does not come up in their database.
I have compiled a list of all relays, transistors and chips on both the keypad and board with part numbers and part sources. Feel free to send me an email.
I also have compiled dometic schematics and manuals on every version or iteration of this control system.
Although the dometic part numbers have been superceded, I have only once found this control board new and it is on ebay:
Dometic 3101597 007 AC Module Board | eBay
Here is the seller:
wegotwhatyouneedrv on eBay
I also did find a company that thinks they can repair these:
Board Repair :: Industrial Electronic Repair
In the meantime, I am working on a solution for an inexpensive easily available off the shelf replacement to control these penguin units. I will keep you posted.