Today I drove the car for about 100 meters. I did it at idle, with no linkage on the carburetors, no acceleration control. I was curious if the gearbox is working, and it does! I only shifted trough 1st, second and reverse and everything seems ok. The clutch engages good, the starter motor works perfectly. Then I placed the car on jack stands, and shifted through all the 5 gears. As far as I can tell for now it works!
Now I can concentrate on the engine more. I have this compression loss and oil leak between the cylinder and head at the piston no. 3, and probably have to flycut the heads to fix it...
A few new pics (sorry for the poor quality):