Time expression + koto desu
I think that this is kinda to enphasize the time expression, but I am not sure.
Could it be used after any time expression?

Suzuki-san wa kyounen hatachi ni narimashita.
Suzuki-san wa kyounen hatachi ni narimashita koto desu.

I do not know if I could use the sentence above with "koto desu".

Question

Time expression + koto desu
I think that this is kinda to enphasize the time expression, but I am not sure.
Could it be used after any time expression?

Suzuki-san wa kyounen hatachi ni narimashita.
Suzuki-san wa kyounen hatachi ni narimashita koto desu.

I do not know if I could use the sentence above with "koto desu".

Answer

kyounen???? Don't you mean "kyonen"?

Secondly, your second sentence is wrong. It should be:
Suzuki-san wa kyounen hatachi ni NATTA koto desu.

집에서 편안하게 언어를 배울 수 있는 기회를 놓치지 마세요. 경험 많은 강사진을 살펴보고 지금 바로 첫 수업을 신청하세요!