Hi.
What gauge strings do you use? I'm betting that's the reason for your string jumping out the bridge. Don't go filing anything, if you just file it, unless you do a really good job, they'll be shap edges and you'll start breaking low E's like crazy.
I'm not entirely sure what you mean about adjusting the neck.
You can place a shim, some card or something under the butt of the neck to force it up, this will give you an even action if your action is low up the headstock end and high down the body end.
OR
The truss rod adjustment screw is located in the bottom of the neck, where it meets the body, so you need to unscrew the neck screws and take the neck off to get at it, adjust it like you would a strat, it works the exact same way apart from you use a screwdriver instead of an allen key.
I hope this helps, the more info you can give the better chance you have of someone helping you out.