Press button to open form for data entry and then send matching data to another sheet

Now that the calculations are working, with the press of a button, I need to be able to select a range of dates and copy all lines within the range to a seperate sheet with the desired name under the same headings they currently reside under. I have included some modified code that is being used in another spreadsheet that was created for me, but I do not pretent to understand all of it and I no longer work with the creator of the spreadsheet. How do I use a button to open the form for date selections and entering the name of the new sheet, and then use the start button on the form to begin the matching and copying to a new sheet? If there is an easier way I am all for that too.

Thanks in advance,
Andrew