Long Weekend Formula for Holiday

I am trying to calcuate which days are long holidays in a specific month. I was able to determine the holidays, and even have a formula I found online for calcualting the "Long Holiday" for the New Years, but can't figure out how to do it for other days in the month. To be clear, I am looking to input a specific month in one field, and then return the name of the holiday(s) that occur in that month/year. I then will add up the total number of holidays in that month. See attached.