For towing with lifted front, it is easier to pull the rear axle shafts out thru the rear hubs. There is a big hex head cap(3"?) screwed onto the center of each hub if you remove it, you will see the end of the axle, it has a threaded hole in the end, you can screw a bolt into that hole and use that bolt to pull the axle right out(mark them left and right). With axles removed, the rear hubs freewheel and you can tow with a wrecker lifting the front end.
Yes, the big covered connector under the drivers dash is for test equip. it doesn't do much though as it is not connected to very many systems.
The CB that powers the trans is CB79, which gets its power from K2 which turns on by the main power switch. If you have replaced/bypassed CB79 and the power is steady at CB79(dosnt pulse with relay clicks), then you may have a VIM, Transmission controller or associated wiring issue.
The VIM or Vehicle interface Module is the module under the power panel behind the passenger kick plate. It is a box of relays and some power conditioning and is how the transmission controller(drivers dash) connects with the vehicle. As an example, One of the relays in there is the neutral start relay. Unless the trans controller powers up and is in neutral, that relay will not energize to complete the starter control circuit. The VIM has 2 fuses in it that pass power to the controller from CB79 and CB35 in the PDP. You need to make sure those have good connection and STABLE power(doesn't pulse when relays are clicking).
The WTEC2 transmission controller is located in the drivers dash and is bolted to the underside of the transmission control/display. You need to pull the dash panel up to access it and its connectors. you need to check that those are connected solidly...
The trans controller(and just about everything else in the cab) gets its ground back thru the power dist panel TB2 which is on the under side of the panel and is tied back to that ground test lug on the left of the PDP. The ground test lug is connected to the cab chassis ground strap which connects down thru the cab floor to the right frame rail. The main frame ground ties from the drivers frame rail to the negative starter connection. That neg starter connection runs thru a shunt(current test device) and back to the battery negative terminal. That is why the first test I always recommend is power at the ground, 12 and 24 test points in the PDP, as a bad frame/chassis ground will show as bad power at those test points.