As reported to the FAA. Reports are unverified, and codes are left as the FAA publishes them.
What was found
DURING CLIMB OUT OF LGA HIGH ITT WAS NOTED ON NR 2 ENGINE. AT MAX CLIMB THRUST ITT WAS AMBER AND RISING ABOVE 290. WE PULLED POWER BACK 7 PERCENT N1 LOWER THAN NR 1 ENGIN FOR REST OF FLIGHT ITT ON NR 2 ENGINE RAN AT 880-890 DEGREES WHEN N1 WAS PULLED BACK 7 PERCENT LESS THAN NR 1 ENGINE. THEN E2 FIRE DETECT FAIL MESSAGE ON EICAS ON CLIMBOUT OF LGA. REMOVED AND REPLACED NR 2 ENGINE.