...The parties know this, so they are now in the process of figuring out whether the new claim construction really changes anything...

Is the a time limit (post mandate issued) for this part of the process?

Or will the court (NDOC-Judge V.G.Chhabria) itself set dates for the 2015 stayed trial to continue?

http://law.freeadvice.com/litigation/appeals/court_appeals_decision.htm

The appeals court remanded my case back to the trial court, what does this mean?
When a case is remanded, it is sent back to the trial court with instructions to correct a mistake of fact that the trial court reached. This means that the particular issue in question will be heard again by the judge and the decision reconsidered.