The 545A is intended as a portable instrument, they are pretty robust. It has
been awhile since I looked inside one, but instruments like this generally have
either shields or retaining clips holding the tubes in place. IIRC, many of the
tubes in Tek scopes are mounted upside-down or sideways, and will certainly
already have some type of retainer.
For the front panel, I would try cutting pieces of something such as stiffer
foam to fit around the perimeter of the front panel, to keep forces off the controls.