Your school has organised a best teacher scheme which teacher will you nominate and why ​

Give the basic details first, such as name, location, a brief job description. Remember that you will be attaching a resume with your letter, so there is no need to go into excessive detail here. Just give a brief introduction, and then clearly state why you believe your teacher is the best nominee for this award.

the second option.is correct

“way of writing” should be replaced with “writing style"

“idea” should be replaced with “purpose.”

maybe   “people from a long time ago” should be replaced with “elizabethans.”