Use a Date Range and then count instances in another cell within that range

Hi
I am trying to obtain the number of times the value H1 occurs in a table column C which has a date range in a different column (A). I want to input the starting and end date range for the selection I need to make in the formula and then count the number of times that H1 appears within that range.

I have attached a table to use as an example. I want to be able to select between the 3/1/19 and the 13/1/19 and count how many H1 entries exist in Column C between these dates.

I am afraid I am not sure how I can get this to work and would appreciate some advice?

Thanks

Rich