Considering the location of this ringneck, and the coloration (eyes, ring, beak), I'm leaning towards an African Ringneck myself... and *possibly* a wild caught one at that.
Karla, can you tell us more about the ringneck? i.e. where did he come from? Can you get some better quality pictures of him? Does he have a leg band by any chance? Was the beak that coloration when your SIL got him, or did it change?
I'm about ~8 hours north of you and ended up with a wild caught female african ringneck. She was imported May of 2013.... making her maybe around 3 years old now? If not older... her beak is especially dark.
Sylphie might chew up toys, but she doesn't play with them. She's a *great* eater (seeds, pellets, nutriberries, fresh and cooked foods...), but not tame and friendly. Admittedly, I haven't worked with her much, and she has only recently shown interest in being close to humans. Monkey see, monkey do kind of situation, though.... as in, she watches the cockatiels eating from my hands and she wants some of the food as well, but she and the cockatiels don't get along... so she'll come over, scare the cockatiels off, then freak out because there's no one there eating from my hand, then take off.
Little bit more info about her, here.....
African Ringeck, Imports, Food & Damaged Feathers | Avian Avenue Parrot Forum
I agree with Claire, though. Put food in his cage, then back away from the cage at whatever distance that he is comfortable with you at where he would eat. This could be 5 feet away, or it could be 10 feet away. Find that distance and remain there each time you feed him. Don't look directly at him, either. Looking at him directly could make him feel uncomfortable, because humans are predators and he's prey. Do this for several days, remaining at the same distance. After several days, you can try moving maybe 4-8 inches closer and repeating for several days before attempting to move closer yet again.
You can also try walking towards his cage and the moment you see him tense up (close nit feathers, looking to escape and avoid you), stop. Watch and see if he'll relax, and if he does, then back off. Then slowly repeat walking towards him and stop once he tenses. Back off once he relaxes. Doing this is a form of communication and is trying to tell him that you wont proceed if he's unsettled. If he relaxes, which you want him to do, then you'll give him his space.