disk utility Macbook Air

I have a Toshiba external hard drive that will show me the partitions but I cannot open them or download anything. My iTunes and Photos and all my businesses, inc. mp3s for sale on Vimeo are on it. I was hit w/cancer at the time and very stupidly did not make a copy.

If I use Disk Utility First Aid on my Macbook Air Catalina, will it delete my files on the corrupted hard drive? My option is $700-2700 for a Drive Savers fix, if possible.