I was in my break on my bc and mistakenly I took the new pack first active pill instead of my break pill. So what am I supposed to do? How am I supposed to log in?

Just means you started your break one day later that’s all. Take the next one in the pack when your break is supposed to end.

I took the active pill yesterday but I was supposed to take the break pill. And I started the new pack. But if I log in yesterday like I took it today, would be alright?

Yes just log that you started a new pack yesterday.

Thank you so much!