A B737-500 WAS DISPATCHED IN NON COMPLIANCE WITH THE R WING FUELING DOOR NOT SECURED AFTER FUELING. DOOR JAMMED IN #4 SLAT ON REVERSING.

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AFTER LNDG AT ZZZ ON RWY 22R; WE PROCEEDED TO TAXI TO OUR GATE. WHEN THE FO BROUGHT THE FLAPS UP AS PART OF HIS AFTER LNDG DUTIES; THE #4 LEADING EDGE SLAT FAILED TO RETRACT. UPON ARRIVING AT THE GATE; HE SENT AN ACARS MESSAGE TO MAINT CTL AND WROTE UP THE DISCREPANCY IN THE LOGBOOK. WHILE THANKING THE PAX AS THEY WERE DEPARTING THE ACFT; A MECH CAME UP AND SAID; 'CAPT; YOU NEED TO SEE YOUR R WING.' AFTER GOING DOWN TO THE RAMP; I OBSERVED THAT THE FUELING PANEL WAS OPEN AND WAS JAMMED UP AGAINST THE SLAT; THUS PREVENTING THE RETRACTION. THE FO SAID THAT HE DID NOT EXPERIENCE ANY 'ROLLING' TENDENCIES DURING THE FLT. APPARENTLY; THE DOOR CAME OPEN AFTER LNDG WHEN THERE WAS NO LONGER ANY SLIPSTREAM AIR KEEPING IT CLOSED. SUPPLEMENTAL INFO FROM ACN 620973: AS THE PLT; EXTERIOR INSPECTION WAS ACCOMPLISHED PRIOR TO THE COMPLETION OF REFUELING AND THE UNDERWING FUELING DOOR IS NOT VISIBLE FROM THE COCKPIT (WITHOUT OPENING THE WINDOW). THE CAPT AND I WERE UNAWARE OF HOW OR WHEN THE FUELING DOOR CAME TO BE OPEN.