I BOUGHT a new computer and need to download my current files

Do you mean your data files?  Or your Program files?

NO ONE, other than you, has the data files.  IF you can't open Q on the old computer and BACKUP to a USB drive, or such, you're outta luck.

Getting the PROGRAM files will depend upon how you installed in the 1st place, Disk or download.  If Disk, simply use it again to reinstall.

If Download, see if there's a file on the old computer in your "Downloads" folder, that begins QW...  That will be your downloaded INSTALL file.  Use the USB to move that file to the same location on the new computer and run it from there.\

If you can't find that file, you'll need to go back to the website where you bought this copy of Q ... and re-download.