Well, the AC is now running. What I did was leave the HV black (Hi speed) blower wire connected to the HI COOL terminal, but I disconnected the (black HV wire) jumper that ran over to the HEAT terminal, and instead connected the blue HV (MED HI) wire to the HEAT terminal. Turned it on, and low and behold both the AC compressor and the blower came on.
So, CONTRARY to the instructions in the original furance installation guide (which of course pertained to the old board), you CANNOT connect both the HEAT and the HI COOL terminals to the same black (high speed) blower wire in order to get the same blower speeds for both functions. (Somehow, on the new board this disables the 24 V signal going out to the AC compressor relay.) So why the $%&#@ did it not say that on the installation instructions for the new board!? And why do these new instructions also tell you to connect a non-existant yellow blower wire to the LO COOL terminal?
Oh gee, maybe if I had just paid a furnace guy 9ABOUT $200 in travle time alone) to come out and do it, they would just know this because they are professionals! Maybe, but no one I talked to (including York/Luxaire techies) could tell me this on the phone, - the solution was so simple you would think someone would know. Not very impressive, and I am also not too optimistic about the future of this furnace, or the repair of future breakdowns, either (which WILL happen judging by the sorry reviews I have seen online for Luxaire furnaces).
Still have to recheck the heat function of course, but I'd be surprised if there is any problem.
Time to go on an ATV ride and forget about all of this.
BTW, thanks for all the help, beenthere and dac122 - it kept me going!