Re-educating a youngster

[paintsplat05]

Firstly I only have experience of riding a couple of young horses but am a quiet rider who has learnt how to ride young horses correctly. There's a new pony YO has just bought to use in the riding school-nothing special but will just do basic flatwork and a bit of jumping. However she's been ridden a lot by kids and generally ragged about a bit so is very untrusting, unbalanced and basically like a deer caught in headlights when you ride her! I've been asked to school her and I'd just like to run my 'plan' by some more experienced people and see if it was any good!
Rode her on the flat and her canter is very rushed, doesn't always get the right lead and breaks often. Am going to pop her on the lunge and see if this helps. Her main problem is when she's in a ride she just cuts across the school and runs to the back of the ride-i'm going to ride her on my own a couple of times then with one other horse in the school, then in a small group, just in walk and trot doing lots of school movements to keep her attention on me rather than trying to run to the back of the ride.
Her other problem is jumping-she's never been taught properly with raised poles, small grids, placing poles etc. so just rushes and cat-leaps; would it be better to lunge her over single poles, then ride over trotting poles, then lunge over raised poles/little jumps, then build up to gridwork whilst ridden?
Sorry if this is a load of waffle but she's a very sweet little pony and i just feel sorry for her as she's been messed about with so i'd like to make sure i'm doing it right!

 

[letrec_fan]

By no means experienced but just using common sense here - what is an uneducated youngster doing in a riding school? It sounds like it has a few major problems and even if you do get them fixed is it really fair to put her straight back in the riding school where the process is likely just to reverse itself again? I should think it will take a heck of alot of schooling to right her - I have had my boy (ex race horse so equivilant to a younger horse) for just over a year now and we have cracked alot of problems but are by no means there yet. Obviously, it has taken longer, as I am learning with him, but even so.

I found with my boy lungeing over jumps was good as he cat leapt. Only did it once but jumped the other day and he didn't rush a single one. Put poles out either side of the jump and then they have to think about the poles rather than the jump and then they have poles the other side so they dont hoon off after jumping. I found my boy was very scared of it though so dont force her to do it if she runs out (maybe my boy is just a wuss?!) so I acctually ended up leading him over them at points and then asking him to do them again himself. Maybe just start with plain trotting poles on the ground - I wouldn't start jumping yet.