I experienced the same problem with a US 41 which is essentially the same design as your Quadra 35. It just wouldn't take the gas. You could prime and get about four pops and sometimes a little more but that was it.

Finally with the needle way out and a big fast starter instead of the spring, we got it going. It quit up in the air unexpectedly and I then found the crank sqeeked when you tried to turn it over.

Upon dissassembly, of the spring starter area, the spring had bound up and turned the crank blue. I just knew that the seal was toast and that was the reason for the engine starting poorly. I found a seal for the rear bearing at the local auto parts store and the engine ran like it was supposed to. No more problem. Bye bye spring because the crank was gaulded where the one way dog clutch for the spring rode on the crank.

Enjoy,

Jim