Well you can get shin splints many places. Your lower leg consists of two bones, the shinbone (donno what it's called. I'm from Denmark :D ) and the other one which to the right/back. I had shinsplints in the right/back one and even though it comes more easily from leaning backwards there's alot of other factors.
The way your boots fit and the way you tighten them up definitely matter alot. But landing bad a few times (not even backwards) or just skiing alot can cause it aswell. Shinbang simply comes from straining you legs too hard. And you can minimize the chance you will get it by working out your leg muscles (and thereby strengtening your bones and ligaments aswell).
Lindsay Vonn had shine splints before the Olympics in 2010 i remember. And I dare to say that it doesn't come from leaning too much backwards :D
Another thing. If first you have shinsplints I doubt you can get rid of it that fast. It's an injury, not just some pain. You can stop it getting worse (rest after skiing, ice, different oils, warmth etc) but until it gets recovery time it will keep annoying you. Atleast thats my experience.
Went a little off topic, but I thought you needed to know. Go look up shinsplints / shinbang. There's a ton of threads.