I ran a storage check over my external hard drive (using omnidisksweeper) and found this:

While under the storage section of "About This Mac", I found this:

Which is accurate? If the omnidisksweeper is accurate, why is it that Mac says that there is free space of 600GB? I am quite confused and I am doing this check because I want to clear some of the old time machine backups (such as 2016-06-15) and not sure what are the files that consumed the most storage (and trying to delete them).
Pls advise! My end goal is to delete some large spaces files (so I was trying to inspect them with Get Info but it took too long time so ended up using omnidisksweeper)!
Second Question >> Also, is it safe to just delete the files in Finder (aka command+delete in Finder)? Will it affect Mac's future backup restoration?
Thanks.