I am terribly sorry for the trouble! May I know if the old computer’s Insync was running at the time you transferred it to the new computer? If so, what are the Insync versions for both machines? Are the sync locations from old to new machine identical, or did you use a new location to sync your files?
If it’s 1.x, Insync has a hidden .insync-trash folder that contains deleted files. Aside from Google Drive’s Trash folder, you can check there to restore your files. If you’re on Insync 3, however, you can check both computer’s local trash folder to retrieve the files.
Please also send your logs.db and out.txt files to firstname.lastname@example.org with the link to this post so I can report this for further investigation.