Auto Populate a Linear Calendar Based On A List With Date Ranges

Hey EF Community, I would greatly appreciate if you could help me out!

You can see my attached spreadsheet for guidance.

I would prefer this be done using formulas as this environment does not play well with macros and code.

I have one table with three columns -- Names / Start Date / End Date

I already did some of the work. I have formulas set up in an adjacent table so if James Harden is gone from 5/12 to 5/15, it will auto-create lines for James Harden 5/13 and James Harden 5/14. See the attachment for an example.

On another sheet I have a table that acts as a linear calendar. The first column is Names and every column after that is a date.

Here is what I am trying to do -- Let's say a field somewhere on the calendar table lines up horizontally with James Harden and vertically with any of the four dates (5/12, 5/13, 5/14, 5/15), I want that field to be highlighted. It could hold any value as long as it is highlighted. If that field lines up with a name and date that does not fit into any range, then nothing happens.

Bonus Points: If I could have a fourth column in my original table with three options (leave, travel, training) and have the highlight be a different color depending on what that value is. This would be a luxury, not a necessity however!