if you are sure the carb is in good shape,,i would think your problem may be the fuel pump...before replacing the pump,check the fuel line for kinks or any damage
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Suzuki Samurai/Sidekick/Tracker 1986-1998
See Figures 1, 2 and 3
FIG : Fig. 1: Cross-sectional view of the mechanical fuel pump used on all carbureted engines covered by this guide
Fig. 2: To remove the fuel pump, first disconnect and label all of the fuel lines from it
FIG : Fig. 3: After removing the fuel pump from the cylinder head, the fuel pump actuating rod can also be removed and inspected for damage
CAUTION If any fuel was spilled near the battery, or on the engine, allow the fuel fumes to dissipate before reconnecting the negative battery cable. Sparks and fuel vapor can cause fatal explosions.