If this is made of lthe usual ABS or acrylic plastics, it's going to get
weak and brittle with age. On the other hand, if you're dealing with
high-density structural foam, you're somewhat better off, as the stuff is
pretty stable, but harder to repair.
Bottom line, is that if there's a volatile component to the plastic, it's
far weaker now than it was when it was new. Any repair that you make runs
the risk of failure in another part of the structure. While many repairs
will be fine for stationary operation, they may not be robust enough to
survive the rigors of shipping.
You may want to consider removing the heavier parts of the unit and
packaging them separately for reassembly at the destination.
Another option that hasn't been mentioned is fiberglass cloth and acrylic
resin as reinforcement.
Cheers,
Chuck