Two speeding tickets?

There's pretty much nothing you can do, the insurance company will find out about it sooner or later depending on when they run your MVR again. About all you can do is not tell them and delay the inevitable. As far as the driving school, that won't help with insurance since that removes the points from your license to keep it from getting suspended, but it still shows on your MVR as having a ticket so the insurance can still see it. And you will probably see a large increase in your insurance rates as well so don't be surprised when that happens.