No reason to be concerned about Fluoro or graining. Faint fluorescence will be very hard to see unless you put the stone under a black light. Some people prefer some fluorescence in their stones. Surface and internal graining are only visible under magnification and are fairly common in diamonds. They won''t affect the stone.
I've once seen surface graining with my naked eye on the table of a diamond with GIA EX polish.
I also remember that Jonathan (rhino) said something about the bad effects of fluorescence together with graining. But surely not with only faint fluorescence.