EdFred
Taxi to Parking
First - great job on the way you and your CFI handled the emergency. As others have noted - declaring an emergency or at least saying mayday would have been a good idea, if that engine had suddenly gotten worse you might have NEEDED the runway to be clear.
But to your above quote:
'You flew at night even after you preflighted and found the landing light was inoperative? Did you rent the airplane?
Take a look at 91.205 (c) - your instructor should not have taken that airplane. YES, you CAN fly without a landing light, and it's good to know how to land in case you find that your light dies between the time you preflighted and the time you needed it.
I can hear comments like "Come on, you don't really NEED a landing light" - but it's a bad habit to go fly with stuff on the airplane that doesn't work without doing the stuff required in 91.213, and in this particular case, since your airplane was operated for hire, an electric landing light is required for night operations - which means it needs to be working.
I didn't think rental was a for hire operation.