Well, as nobody has responded, I will have a go. Maybe this will encourage others more knowledgeable than me to chime in.

In view of the intermittent effects, and given the fact that movement of the housing seemed to affect the way the video works, I would suggest renewing the solder joints on the analog board in obvious areas of stress as a first strategy. The capacitors pictured are no doubt old, but these images look perfectly normal to me. Solder joints on flybacks and similar components seem to be more common points of failure.