When I turned @echo on so I could see exactly what I was running, I saw that I was asking
IF EXIST P:\Production\Database_backup\02182014-Database0400.mdb
Hmm I thought, would perhaps some Quotations help? So I typed it in the first time (instead of using the variable)
IF EXIST "P:\Production\Database_backup\02182014-Database0400.mdb"
Worked like a charm!
So, I replaced if exist %filePath% (
with if exist "%filePath%" (
and suddenly there were angels all around singing their beautiful song