IMO EParallelism Check:The school Principal earned immense respect and recognition for, # first,
creating new methods of knowledge dissemination that prompted students to learn and employ creative ways of handling challenges,
and # secondly,
to teach students the nobility of service through his own example.
Above the two things for which principal earned respect & recognition - Creating methods......& teaching students .........is not parallel as highlighted in above analysis.
If you start enumerating your point with "first", the next ordinal should be "second" . & if with "firstly" then "secondly"A.
secondly, to teach students the nobility of service -
Incorrect - for "Creating" & "to teach"is not parallel, secondly goes well with "firstly"
B.
secondly, teaching students the nobility of service
Incorrect - secondly goes well with "firstly"
C.
secondarily,
for teaching students the nobility of service
Incorrect - "Secondarily" goes well with "primarily" which in present sentence not makes sense.
D. second,
for teaching students the nobility of service
Incorrect - For - "Creating" & "for teaching" - second for is unnecessary.
E. second, teaching students the nobility of service
- Correct- For "Creating" & " teaching" perfectly parallel.