Fuel pumps have a habit of failing on these units. Mine was running fine until one day, it didn't run. From your symptoms, it runs while being fed a source of fuel (the starting fluid), but dies otherwise. I would suspect the pump.
The filter might be clogged, but they'll usually give you an indication of that - it runs under no load, but it either struggles or dies under load as it is trying to pull more fuel than the filter will pass.
One thing to check on the pump - push and hold your start button to the off/prime position, and listen for clicking from the pump after about 5 seconds. If you have no clicking sounds, the pump has probably failed.