I haven't tested it, but if you have played enough of the movie to have MC set a bookmark, then you should be able to stop the movie, go to your JRemote device, and start playback again where you left off.
As I say, I haven't tested it. Bookmarks may be device specific, but I don't think so. They are saved to a tag for the file, so are library specific.
You may have to tweak the bookmark settings in MC to get the result you want. See the Wiki Bookmark article.