Are these lucid dreams?

well, i think i have had 2 lucid dreams but I can't quite recall the second one but i'll try my best

in my first dream, I was back in school. It was before 9th period and I was about to go to french and do my french dialogue. I decided to wait in a bathroom until the period was over so i could go home and not do the dialogue. Inside the bathroom 3 of my friends were standing talking. for some reason i kicked a circular object into the wall. when i was going to the bathroom/waiting i thought to myself "why didn't i study during vacation?" then i realized i was still on vacation. i quickly thought "Oh my god!!! I'm dreaming!!" and i felt a weird sensation inside; it felt weird but nice at the same time... like i was very powerful. a few minutes after feeling that, i woke up and asked myself if that was a lucid dream.

My second dream was last night when i was in a car driving home from vacation. I was very uncomfortable and couldnt write down my dreams. due to me being uncomfortable i had multiple dreams but almost all of them were short.

In this dream i was near a cabin being chased or chasing an zombie - like - creature. i thought "wait, zombies aren't real so i must be dreaming!" a few seconds later i woke up.

My question is that are these both lucid dreams or just the first one because my second dream was very short.