What was found
ON CLIMBOUT FLIGHT DIRECTOR WAS GIVING INACCURATE INFO, BUT IT STARTED WORKING AT ALTITUDE IAS COMPARATOR WITH MOMENTARY ELEVN & YAW WARNING ACCOMPANIED BY AUTO-PILOT FAIL. ON RETURN RECEIVED FADEC ALT ALERT. QRH DIRECTED AIRSPEED UNRELIABLE CHECKLIST. SELECTED CAPTAIN STATIC AIR SOURCE TO ALT AND INSTRUMENTS AGREED WITH STBY & FO ALSO RECEIVED THRUST LIMIT MISMATCH ON MCDU. REMOVED & REPLACED CAPTS PITOT PROBE IAW AMM 34-11-01-2. ALL TESTS PASSED, AWAITING SEALANT CURE TIME.