In your first screen shot, of the import windows Destination section, You have asked LR to Organize: "By Date", and then use the date format of 2020/2020-6... (Folder Year/Subfolder Year-Month/second Subfolder Year-Month-Date).

But yoiu are not showing the actual Drive and or Top Level Folder LR is supposed to be placing the images in like this.

Don't be confused by No Entry in my "Into Subfolder" and "Date Format" sections as I use a special, Modified, Preset that creates subfolders using the Month and day date (Numbers) like 0602 for June Second.
Sometimes LR will use either the File On Disk Creation Date or the Modified date if there is NO valid Capture date (read that as Date Time Original, Date Time Digitized) in the EXIF Metadata of the image file. This can happen with Scans of prints, negatives and slides and some other Digital images taken with very old digital cameras or older cell phones.

In your second screen shot you show the Folders section of the Library module but not the whole part showing whatever drive and top level folder they are in and only a Small Section of the Metadata section.
Please show us the Whole area.
Also if you are going to do all your origanizing Manually and then only import certain images that you manually copy to some other folder then maybe LR Classic isn't the program you should be using. The purpose of LR is to import ALL of your images and use LR's Library module to add keywords, place images into collections to do your origanizing.
You might want to look at using Bridge, ACR (Which is the same as the LR's Develop module) and PS for further edits.
LR NEVER Changes your original images. All Edits done in LR are just Overlayed over the top of the original image. The only way to actually Include, Burn In, the edits you do in LR to an image is to Export it to a New, Different, File.
So copying your original RAW to some folder then Making copies of them to import into LR is a waste of time, except to make Direct Copies as a Backup of your images.
you should also view some of the very good online Tutorials on how LR Classic works and how to properly work with LR Classic.