Hi HowardGinsburg,
Sorry to hear about you surface earbuds not charging. Can you try to update the surface earbuds and caseagain? You could also try factory resetting them by Plugging in the case to a PC or to a wall adapter/outlet, then hold down the pairing button for 20 seconds. WARNING: THIS WILL DEFAULT YOU EARBUDS TO THE FACTORY SETTINGS AND WILL LOSE ALL PAIRING DATA AND EVERYTHING ELSE. If all else fails, you can contact Official Microsoft Support to further fix your problems.