You are on the right road, but it seems as if nobody has mentioned your solution is not good OO design:
BAD: if ($po->status->name eq 'Sent') ...
ALMOST AS BAD: if ($po->can_send) ...
You are breaking encapsulation in all but the last case. Getters are a design smell. They are just a way to make private data public.
Instead of asking objects questions, tell them to do things. The object will figure out how to do it.
Allen Holub says about this:
"Never ask an object for the information you need to do
something; rather, ask the object that has the information
to do the work for you."