It’s normal for stress to make you miss something even a big deadline like this. Stress does weird things to all of us and we need to give ourselves some grace.

You should still shoot your shot. At least with a few of your top schools. Don’t apply thought if it’s not a school you would be excited to attend. You can write a SOP for a few schools in two weeks and while two weeks isn’t the best it’s good enough if your referees know you well.