Hi and welcome to FixYa, I am Kelly

No fuel pick up is caused usually by cracked fuel lines or... a fuel tank cap that is not closed completely or not properly vented. It can be the pump or a clogged fuel nozzle or fuel filter.

Here is a manual that will help you sort it out:

http://www.bealsmotor.com/Desa%20Hot%20Surface%20Manual.pdf

The manual has all the information you will need to get it going again. Even without the "test equipment" listed in the manual.

Thanks for choosing FixYa,
Kelly