Is there anyway I can get my old speeding tickets reduce to a non moving violation???

How long ago were the speeding tickets and in which court or courts were they in? Depending on age it is not likely to be something you can do. Aside from your convenience, what reason would a prosecutor agree to the modification, let alone a judge even if you have gotten an agreement to modify. Talk to an attorney who handles Traffic Infractions but don't hold your breath.

No, it is too late to do that retroactively.

If a disposition has already been entered in Washington it is not likely. You could always call a traffic attorney and see.