Custom Date Table

Can someone please tell me the best way to set up a custom date table for the following situation? I am at a school and have 2 semesters per year with each semester having 2 terms.  (So 4 terms in total) We number each of the weeks in a semester from 1 through to, say, 19. Then, after the mid year holidays we start again with numbering the weeks from 1 through to, again, say 19. We also have holidays in the middle of each semester and holiday weeks are not numbered. This year school started on Wednesday 27th January 2021. So it would look something like this for this year. (See table below)

How can I automate this procedure each year and set up this custom date table once I know the term dates for the year? Is this the best way of setting up the table? Perhaps I should have every day in the year in 1 column and then assign a semester and term number and the number of the week in other columns somehow? (Rather than having a start and end column) But how could I automate this procedure. Any help would be very much appreciated.