Only way to rectify the instrument cluster issue is to replace it. Unless someone knows a company that can repair it? I know when I worked at Munich Legends we used to get the pixels fixed in E39's etc by a company, but I don't recall the name. Think they're about £400 plus Vat
As for the bulb, which corner is it? Sidelights are prone to sporadic failure before going completely, the rear light clusters can burn out in the plugs.