2000 Hyundai Sonata Auto Shutdown Relay , can't find it , not getting any fuel. Car was not in an accident but it was moved a couple of times by flatbed tow truck.

SOURCE: location of fuel pump relay (1990 hyundai sonata)

The fuse box is located low on the left side of the dashboard behind a cover, or at the left side kick panel, behind a cover.

Relay Box -is located under the left side of the dash as well.

SOURCE: 2000 Hyundai Sonata jerking and causing poor performance

The turbine shaft speed sensor can cause this problem, It is also know as the transmission input shaft speed sensor. It will cause the transmission to **** and also stick in 3rd gear, which wound cause slow acceleration.

SOURCE: Hyundai Sonata 2000, sluggish to start only after fueling

Purge control solenoid valve is suspect. After refueling, the charcoal canister can become 'saturated' and this valve (if stuck OPEN) sucks air through it and can draw raw fuel into the intake manifold creating a 'flood' condition.

SOURCE: where is the fuel pump relay located on a 2001

there is 1 relay that controls the ECM / Fuel pump. its located above the center hump in the dash, right side. Like to the right and below radio area.

SOURCE: Hyundai sonata 2004 2.4l common problems?

Water pump, thermostat belts and hoses. One these are the cause of most traded cars.