Indeed the wings are not clipped, best to go to an avian vet or specialist pet shop. A lot of people on this forum don't have a lot of nice things to say about pet shops overseas, but here it seems a bit different (NZ).
Don't know where you are based somewhere cold by the sounds, so obviously NH.
If you prefer to try yourself then have a rummage around this forum for tips, some say best idea is to wrap it in a towel when you do it, it protects you as well as keeping the bird a bit calmer sometimes. Depends on your point of view. I am not a fan of gloves at all.
The flight feathers to go are the long, darker ones that overlap when your bird is at rest as in the pics. They basically need to be trimmed up so they no longer protrude below the light blue feathers that sit on top. Don't cut them too far otherwise you may cause a bleed and they don't have a lot of blood to lose!
Anyway - there is bound to be an expert here so don't do anything until someone who really can describe how to do it properly replies to your post!!!!
I would say unfortunately that the cage is too small. You want something large enough that your bird can run around and climb in it if shut in it all day. They aren't happy just being idle and get bored easily.
Probably half as big again at least - and maybe even double the size so you can fit lots of bars and things in to climb over.
Have a look at this post in this forum
http://indianringneck.com/board/viewtop ... 1ee065aec5
If the link doesn't work then go to miscellaneous comments/questions and a post called help with cages. Also, have a look at some of the photo forum pics - that will give you an idea of cage size.
Cheers
Enjoy