Trying to search a column and match values

[Zxpq]

Hi,

First of all, I've tried a lot of fixes to get the two different date formats (column A saved as text and I can't get it to be a date) so I can match values from 2 columns. Basically what I want to do is match a date in column A with a date in column D, then use the value in E that corresponds to the date in D to multiply column B by E. I was trying to use the MATCH function and IF but I'm just completely lost now. I hope this description of what I'm trying to do makes sense. Or maybe there's just and easier way to do it that I don't see.

Thanks for the help!