As reported to the FAA. Reports are unverified, and codes are left as the FAA publishes them.
What was found
DURING T/OFF COULD NOT ENGAGE AUTOPILOT AT 500' AGL. ACCELERATING THROUGH 230KIAS ELEVATOR TRIM BECAME UNUSABLE. HAD TO DECELERATE TO 200 KIAS TO CONTROL PITCH DECLARED EMERGENCY RTB TO KMIA. DURING APPROACH AT LESS THAN 200 KIAS ELEVATOR TRIM BEGAN RESPONDING AGAIN. REMOVE AND REPLACED F/O CONTROL WHEEL TRIM SWITCH (S1-330) IAW IPC REF 27-41-25-01 ITEM 30, AND MM 27-41-02-2. AND OP'S CHECK IAW MM, 27-40-00-5, ALL OP'S CHECK NORMAL. A/C OK FOR SERVICE.