Count values in a row pertaining to a specific date range column

I’ve been struggling with this and need some help…

Column A is a range of dates, columns B thru E whether a room is in compliance or out of compliance for that specific date. For B-E contains the following data:

“1” represents compliance.
“0” represents non-compliance.
Anything else (“np” or a blank space, or other text should be ignored)

There can be repeat and skipped dates (as seen in screenshot). I need to be able to specify a range of dates and then obtain the compliance rate for those dates.

Right now I’m using =Countif, and manually selecting my range every time. The problem is that this spreadsheet has 1000s of entries and I need to frequently change a long list of dates that I’m looking at. What I want to be able to do is choose a start and end date, and then obtain my compliance rate for that date range. Below is an example of the spreadsheet. Thank you for any help!