Counting the number of times a specific name occurs between a specified period of time

I have a list of marketing tools that I am keeping track of. Everytime a customer is brought into my business using an online marketing tool, I am recording the marketing tool and putting the date next to the marketing tool to record when it occurred. I want to add up each marketing tool between a specified date range. Attached is an example of what I am trying to do. I need to populate Column C with a formula that will add up all the online marketing tools seen in column A between the date range seen in F and G.

I changed the spreadsheet to make it more clear. I need to populate column F.

Or you can use a sumproduct in F2

=SUMPRODUCT(($A$2:$A$13=E2)*($B$2:$B$13>=$I$1)*($B$2:$B$13<=$I$2))