1. the post-sales support for Galaxy Note 10.1 is under mobile phone divisions in some regions. The level of support varies. But anyway, any official Samsung service center should have staffs trained for repairing Note 10.1.
2. if the problem persists, try this null keyboard app. But you need enable normal keyboard once bluetooth keyboard is disconnected. At least less annoying. Of course, the best solution is to get a keyboard dock.