Accessible Calendar

I have been tasked with converting a Word document containing the school district calendar to an accessible pdf. Each month has the month and year as H2, followed by a table with calendar for the month. The days are marked with various symbols to indicate events.

I suspect that someone using a screen reader will not want all those days read aloud, and would prefer to have just the events listed. I also don't think the person cares that a school holiday is marked with a red triangle while a testing day is marked with an orange pentagon.

I have done the following in Word:

1. Marked the table header.
2. Added alt text and titles to each table to list the important dates.
3. Set the alt text on each symbol to "" to tag it as decorative.

As far as I can tell, only the table header was picked up when I converted the document to a pdf.

Here are my questions:

1. Is there a way to mark the drawing objects as decorative in Word so that I don't have to do it manually in the pdf?
2. Is there a way to have Acrobat pick up the alt text and title from the tables?
3. I want the screen reader to omit reading the entire month and just read the alternate text. Which of the following things do I need to do?
   1. Add the alt text for the entire month to the H2 tag above the table that names the month
   2. Add the alt text for the entire month to the Table tag.
   3. Add the alt text individually to the appropriate table data tag.
   4. Change the Table tag to a Figure tag.
   5. Remove tags. If so, which ones? (I tried changing the Table tag to a Figure tag and deleting the tags for everything underneath, but that created more accessibility errors.)

Thank you for your help.