Where should be 3 or 4 screws that hold the carburetor to the top of the fuel tank and 2 bolts that attach it to the motor take them out and lift the carburetor up and out of the tank.The rigid line you're talking about is the breather tube from the crankcase vent. The fuel pump is part of the carburetor the plate on the side of the carburetor with 4 screws holding it on in the 2nd picture is the fuel pump. The carburetor has 2 pick up tubes coming out of the bottom of it that go straight into the tank that's where it gets it's fuel. Like aarchdale said pull it off and take it apart and clean it they are simple little carbs. Also while you have it off you can remove and clean the tank. If it truly is not firing the plug you may have to pull the recoil starter cover off and clean up and check the gap on the pick up coil and may just be the plug.