A month ago, I found some red dots on my towel, and before that, I felt the signs of puberty, then it stopped and now it's back. Could that have been my menarche? (I can provide more information if you'd like)

Look, if you saw red dots on your towel, like actual blood, and felt the signs of puberty, it's very possible that was your first period! Menarche (which is the fancy name for the first period) can start off a bit slowly at first, with very light bleeding or some spotting, and then stop for a bit before it really gets going. It's not like a flood of blood on everyone's first day, you know? Sometimes it comes and goes.