MD80 FLC DECLARED AN EMER DUE TO LOSS OF PRESSURIZATION AND THEN SUBSEQUENTLY; DUE TO ILL PAX.

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CABIN PRESSURIZATION LOSS OF CTL REQUIRED EMER DSCNT. WE HAD EITHER MISSED A HDOF BTWN SECTORS OR IT WAS NOT GIVEN. DSCNT INITIATED WITHOUT VERBAL NOTIFICATION TO ATC. XPONDER SET TO 7700 TO ADVISE THEM. SUBSEQUENT ONBOARD MEDICAL EMER OCCURRED. COMPANY REQUESTED DIVERT TO JFK. ADVISED ATC OF MEDICAL EMER. COMPANY DISPATCHED GENERATED INCORRECT FUEL BURN ANALYSIS TO JFK. THIS WAS NOT DISCOVERED UNTIL DIVERT WELL UNDERWAY. REQUIRED DECLARATION OF MINIMUM FUEL. ADVISED ATC UPON ARR IN NEW YORK AREA WE WOULD EXCEED 250 KTS BELOW 10000 FT. ONBOARD MEDICAL EMER REQUIRED EXPEDITIOUS ARR JFK. PROB PRESENTED ITSELF WITH SEVERAL VISITS TO COCKPIT BY CABIN TEAM INDICATING EXCESSIVELY COLD CABIN. IT WAS THEN DISCOVERED THAT ONLY LIMITED MOVEMENT OF L PANEL AIR MIX VALVES WAS POSSIBLE ON AUTO OR MANUAL AND R PACK AUTO CTLR APPEARED TO DRIVE AIR MIX VALVES FULL COLD WITH FULL HOT SELECTED. WHILE TROUBLESHOOTING ONE OR BOTH PACKS FAILED WITH SUBSEQUENT UNCONTROLLABLE CLB OF CABIN ALT. MEDICAL EMER APPEARS UNRELATED WITH PAX RPTING 'BICKER STAFF SYNDROME' WITH 'BASALER ARTERY SPASM.' PAX WAS A NURSE VERY KNOWLEDGEABLE ABOUT CONDITION. SHE INDICATED TO CREW SHE DID NOT HAVE REQUIRED MEDICATIONS WITH HER. COMPANY MEDICAL CONTACTED AND MEDICAL PERSONNEL MET FLT.