Above are all good suggestions.
Another problem with these engines is that the seal of the backplate to the crankcase sometimes leak. If this happens, all the engine will do is run out the prime. It will not draw fuel.
You can check for a leak there by putting a drop of fuel on the area over the seal between the crankcase and the backplate. Turn the shaft. Counter clockwise, it will blow bubbles. Clockwise, it will suck the fuel in. Check on each of the four quadrants. If it is leaking, reset the seal. There is a way to hone the face between the tank/backplate and the crankcase. Maybe you can figure it out.
If there is a leak, you might get by just by resetting the backplate bolts, but be careful, the threads in the crankcase can be easily stripped.
If here is no leak, then reset the reed valve and/or clean the venture/needle assembly.
Keith