You can probably approach this in a different way, and use MC's view system to help you find what you need.
1. Create a new view under Audio (right-click Audio, and select Add Library View...). Select Empty View at the bottom of the previews, and name it something like Clean-Up.
2. Under Items to Add, add a new Category, select Type: Expression, and add the expression in the Expression to group by as follows:
filefolder(,0)
and set the Name to Album (by path), and OK your way out.
3. Add another category, this time of type Library Field: and select the field Complete Album.
4. Add yet another category, again an Expression type, and use the expression [Track #] - [Name], and name it Track/Name.
5. Enable the Advanced > Filter in both directions setting in the view.
6. OK your way out of the view customization dialogs.
Now you have a view that lists your album names based on their folder paths (and assumes those are correct), and a second column that shows either a 1 for Complete Albums (as MC sees them), or an Unassigned value for incomplete albums. By selecting the Unassigned value, the results will be narrowed to a list of folders (i.e. Albums) which contain incomplete albums, and you can quickly cycle through those using the down arrow key when focused on the first column. And you'll see in the third column the Track # - Name formatting of your tracks within a given folder.
You can add more columns too if you want, such as an Artist (by path) expression, using FileFolder(,1). Or even a Name or Track # column, and use those to select any Unassigned value, which will filter out anything that is assigned.
See if this helps, and ask more questions if necessary.
As far as making changes to your folders, MC will by default write the tag values back out to files, so Explorer should just see those values once you've made corrections. If you've disabled tag writing, be sure to enable it, and write out the tags manually when necessary (using Library Tools > Update Tags (from library).