The problem you’ll find when trying to check backlinks these days is that there’s no one definitive source for backlinks.
You would think Google would be able to show you all the backlinks it can find, but unfortunately they don’t want to make it THAT easy for you.
Why check your backlinks? If you’re doing any SEO, then being able to get the backlinks to your site can be very valuable.
You may want to see if your backlinks are being indexed and strengthen them with additional backlinking. Or you may want to reverse engineer your competition’s backlinks and find additional backlink sources to use yourself.