Numbers: Count and display duplicates in a category

This is an extract of my spreadsheet:

I would like a way to:

• Display the number of entries per a category
• Display if each entry in a category is unique to that category

E.g. So the spreadsheet should look like this:

(I have added conditional formatting to make the false entries stand out. Although "Monday" appears twice, it is still classed as unique, because it only appears once in a category).

I’ve actually asked a similar question like this in the past. I was kindly suggested to use these formula:

A) to count numbers of entries per a category

=COUNTIF(A, A2)

B) To display if each entry in a category is unique to that category

=COUNTIF(A, A2)=1

The formula suggested worked perfectly for the past example.

However, in this new example, formula B just lists everything is false:

Here is my spreadsheet:

https://wsi.li/dl/rXu787c3otRbLfWCc/

(This is only an extract, as I am unable to post the full spreadsheet online).

Can anyone give me any pointers as to why it’s not working this time? I know in this example, the category comes first. But I have switched the formula around for that, so it should work. Thanks!

PS I know I can use Numbers built in category filters, but for this task, it needs to be done via formula, so it can fit in with my workflow.