Q: why can't i see quick links on right side of screen

Hello Doodlebug53! 

I'd certainly want to be able to see the Quick Links section on the iTunes Store since it makes it easy to get places fast. We can see what's going on. 

If you haven't yet, quit iTunes from the top left corner menu, iTunes > Quit iTunes.  Then reopen it and test. 

After that, if it's the same, start the computer in safe mode and try a new user to see if the iTunes Store will show the Quick Links in either.

Try safe mode if your Mac doesn't finish starting up - Apple Support

How to test an issue in another user account on your Mac - Apple Support

Let us know how that goes. Cheers!