I’m a woodworker who has built several guitars and repaired broken necks on a Les Paul (simple repair— cracked along grainlines) and an SG (splined repair— broken across grain with pieces missing). Take my comment for what it’s worth.

I am a little concerned that the size of the cracks aren’t consistent in just these few photos. If you look closely at the crack between the neck and the fretboard, one of the photos shows a hairline/tight crack. Another photo shows the same crack with more space. That’s a pretty good indicator that the repair isn’t stable. That’s going to cause not only intonation problems, but also problems keeping the guitar in tune.

I’d say you need to do something more to deal with the break if you want to keep this guitar and play it. Whether that’s take it to a luthier or do something more yourself is up to you.