As reported to the FAA. Reports are unverified, and codes are left as the FAA publishes them.
What was found
ACFT YAWED TO THE RIGHT. RT ENGINE N1, N2, ITT AND OIL PRESSURE WERE FLUCTUATING. N1 FLUCTUATION WAS APPROX 3 TO 4%. UNKNOWN FUEL FLOW. AFTER PULLING POWER BACK EVERYTHING STABILIZED. AFTER ADDING POWER EVERYTHING STILL STAY STABILIZED. ATC DECLARED AN EMERGENCY. REMOVED AND REPLACED THE RIGHT ENGINE MAIN FUEL CONTROL IAW AMM.