The one photo showing what would be his right side... is that a crack or chip out of the beak?
Even if it is, the good news, it is the beak itself that is chipped and with proper maintenance, should grow out. If that is a hole or crack, I would take him to an avian certified vet, there are a few things they can to for filling in that crack / hole to support the beak and be sure it does not further damage or crack while growing out.
Max arrived to me with a break in his beak that did not show up until months later because the damage was on the inside of the beak, so it took the beak growing and peeling before it became apparent. I will try to find photos so you can see, Max's injury was a bit worse, and we saved his beak, but it was with many trips to the vet to maintain the repair over several months until the damaged part literally grew up. He still has a ridge in the beak, almost like a scar even now, it grows with that ridge where the beak was cracked... Thankfully it was not damaged down into the jaw, so new growth essentially fixed the 'break' as long as we kept it together (vet used a putty and glue to keep the beak intact growing out).
If that is not a hole or crack, well I just babbled on for nothing!