Apart from applicants apply to Oxford, Cambridge or Medicine and other medicine-related courses, the UCAS equal consideration deadline is 31 January 2024. If you apply by that date, universities have to treat your application exactly the same as if they had received it earlier. So as long as you apply by 31 January, then you will not be disadvantaged.
I don't think the teachers knowing you are good will help with university applications, but you can wait until you get your results from November so you can get higher predicted grades.
-Kao (Lancaster Maths & Stats Student Ambassador)