Cub cadet lt1050 poor running

Have you tried running the engine on the gravity system with the fuel line from the tank disconnected to see if fuel comes out. if it doesn't, then go back one step and try there. Keep doing this until you find where the blockage is. There are very few things it can be so just work backwards one step at a time.

Confirm that the choke is closing completely., Check that the fuel pick up hose does not have a air leak. Confirm that the vent hole in fuel cap is not plugged.(common problem)
Remove fuel line hose to carburetor catching fuel output in a suitable container crank engine and confirm fuel pump is working.
Remove fuel bowl and confirm needle valve is not stuck closed.


Hope this helps?
Fuel Pump

Needle stuck closed
Check fuel filter

Check vacuum line connection for leaks.

i think check for water in gas then fuel filter then rebuild carb thats all you can do and change plug if you havnt already

it sounds like your carb is gummed up. You can TRY something called SEA FOAM (you can get it from Napa), you put it in your gas tank. It's the poor man's tune-up. Otherwise, you can get some spray carb cleaner and pull off your air cleaner and spray it in there. Hope that helps.

rebuild carb and clean thje holes in carb with compressed air to get oil out of it clean fuel tank change filter blow out fuel pump with compressdair

Several things to check....air filter being clogged, fuel filter clogged, fouled spark plug, engine could be flooding--clean air filter service choke with carb cleaner-let set, throttle not opening wide enough, plugged fuel cap,

Are you pulling the plug to check for wetness after cranking it a few times, WITHOUT using the starting fluid? Also, I would recommend using carb cleaner in place of the starting fluid. Starting fluid runs the engine VERY hot for a brief time and can possibly damage rings, valves, and aluminum parts.

Check the breather in the fuel cap, run it with the cap loose and see if it is any better.

coil

SOUNDS LIKE IT HAS SOME BAD GAS YOU MAY NEED TO CLEAN THE CARB AND IT MAY NEED A KIT