Check your wiring! Connector under the left rear seat and the wiring harness where it passes through the body going to the fuel tank. Check the wiring harness where it goes to the top of the fuel tank and make sure you don't have any rubbed or shorted wires anywhere.
Accelerating rear hard causing a fuse to pop sounds like to me something moved causing the short.
You could also put an amp meter on the wires going to the pump to see how much current draw there is on the pump.
_________________
Supporting Vendor and Moderator of LOST05 Jeep Liberty CRD Limited
Ironman Springs/Bilstein/Shocks
Yeti StgIV Hot Tune
Week's BatteryTray
No FCV/EGR
Samcos/ProVent
SunCoast/Transgo
Carter Intank-pmp
2mic.Sec.Fuel Filter
Flowmaster/NO CAT
V6Airbox/noVH
GM11 Bld.fan/HDClutch
IronrockArms/wwdieselMount98 Dodge Cummins 24 Valve