Well, if it were a simple analog scope I'd say "Great, you have a display and a focussed trace so your HV section is probably all good". But this is a pretty complex digital scope, so it is going to be hard to proceed without the SM. Of course the first thing would be to check all the power supply voltages, but.... no manual, no schematic, no idea where testpoints are nor what the voltages should be. The fact that the display isn't complete is troubling, along with the "0.0 us" which is also troubling. Is there some easy way in a menu to reset the scope to "default" settings?
You might try carefully cleaning all the mechanical switch contacts with a good brand of contact cleaner (Deoxit?) but that's just a shot in the dark.