Now tried it with two. Was unable to pass on the plausible surgeon or the longshanks gunner.
Agree about the Impeller. I think it’s a must have. Just makes everything easier.
I am pretty sure you can inherit any weapon from the London stores as well as any weapon your captain has constructed at any point, even if he traded or sold it.
You can also pass on the un-upgraded versions of officers (though I don’t know why you’d want to, really), or officers that you lost permanently.