To "cleanly" start this over again, pull out the card then open Lightroom and select all the images you previously "imported" and delete them.
Then re-insert the card and go to the Import dialog.
In the Import dialog, make sure that Copy is selected/highlighted. In Windows, this is the default, not sure about the Mac.
I suggest using Copy instead of Move because of the possibility that downloading images can get messed up (I've seen it happen), which is why at least with Windows LR defaults to Copy. Once you have a good Copy, it's simple to then Format the card in the camera.
In the Import dialog, ensure that you have both a destination "parent" directory (you will initially choose one, after that the setting is "sticky") and then, you can choose the option to copy the files into a "sub-folder" that is named for your shoot. I do this -- I choose a "base" filename for the shoot and use the "Sequence" option to number the individual files, and then I copy and paste the base file name into my subfolder name (or vice-versa).
Following that simple routing will ensure that you get your photos in a place that imports into the Lightroom catalog, shows up in the Lightroom Folders panel, and can be easily found by your system browser or other programs when/if needed. And, if you use a plug-in or Photoshop using the Edit with... function, when you edit an image and Save (saving to the same location) the edited file will show up in Lightroom, automatically imported into your catalog!