As ever with Windows, there's more than one way to skin a cat. With Media Player, you have to experiment a bit to find the one you prefer.
This works best for me - In Tools/ Options / Library Tab, tick the 'only add missing information' option. (or find it under Library/ More Options/ Library Tab).
In Rip Options/ Rip CD Automatically When Inserted/ choose 'Never'.
Open the Rip Page in Media Player, stick your CD in and if it finds the correct details, click Rip and you're finished. If the track, artist and/or album information is incorrect I edit them here, then click Rip. When the CD is ripped, go to the Library/ Recently Added view and add/ correct composer details, Paste Album cover art, Correct Title/Year and Genre if necessary.
I right click the Album Picture, click Open File Location and check that all is in Order.
I try to avoid the Advanced Tag Editor, but it's another way to do it, Just rip the CD, then in Library View, right click on the 1st track, select Advanced Tag Editor and try and search for the correct details or add them yourself.
NEVER click 'Update Album Information', especially if making a compilation album, it should be called 'Undo Everything I've Just Spent the Last Hour Doing'.