Simple Count of Rows that contain a date within a given Date Range

I have tried to research an answer but cannot seem to find the right solution. I am looking to simply count the number of rows that are in this sheet that contain dates from any given quarter. For example, Simply count the rows where a student took an exam in the 2nd quarter (October 1 2023 and December 31, 2023) or better yet (>=K4 and <=L4).

I use COUNTIFS but it counts each cell

I use SUMPRODUCT and it gives me a 0 because some of the rows/cells don't have dates in that range.

Any help would be appreciated!

I have tried:

=COUNTIFS(D3:I30, ">= " & J4, D3:I30, "<= " & K4) 

but that gives me the total cells, I just need the rows.

=SUMPRODUCT give me either a 0 or an #NA