Sorry for the delay - have been away so not been looking at the site.
Yes to both, an internal and external membrane. My SIP supplier was just the same - supplied the SIP structure and external membrane only. I sourced the internal one myself.
Like you, I was in two-minds, so I looked around a lot and it ~seemed~ that most garden room builders weren't doing the internal one, on the basis that the rooms are not for intensive use, therefore moisture content in the air is supposed to be low. In our case though, I expect very frequent use - daily and for many hours at a time - so I opted to included it. It's not a massive additional cost, but a bit labourious putting it up...
Again, maybe belts-and-braces, especially as I have created a vented channel on my OSB deck through the oversheet if any moisture does transfer through the roof assembly, but I'd rather do the job well once, than live to regret a step that I can't subsequently rectify. (Made that mistake before!)