What was found
PILOTS STATED FLIGHT DECK TEMP AFTER TAKEOFF, CLIMBED TO 90 DEGREES. FOLLOWED CABIN TEMP HOT CHKLST. FLT DECK TEMP DID COME DOWN WITH PACK IN STANDBY COOL. AFT CABIN TEMP BEGAN TO RISE. SUGGESTED CLIMB TO CRUISE ALTITIDE & MONITIOR TEMP. AFTER, TEMPS TOO HIGH IN AFT & PAX COMPLAINED. FOUND LEAK, OPENING ON RT PACK OUTLET. ADJUSTED COVER & FIXED LEAK. FOUND A FAULT ON BITE TEST FOR RT PACK TEMP CONTROLLER. SECURED & CLAMPED DUCT ON RT PACK OUTLET. OPS CHKD GOOD. LEAK CHKD GOOD. DUE TO RT PACK BITE FAULT, R & R RT PACK TEMP SENSOR IAW AMM 21-51-08-404-028. OPS CHKD GOOD. NO MSG NOTED. PERFORMED OPS CHK OF RT PACK. OPS CHKD GOOD. ALL THREE ZONES SHOW GOOD AIRFLOW & COOLING. OK TO CONTINUE