Oh well obviously case closed then. Well done, Poirot.
The first part of your post. It was obvious to me he was drunk. yes. The crew did not see this. Correct.
Your second point. Repeating the first in my opinion. So yes fact. You find that 'a bit strange'. Well I find you a bit strange. Move on.
Final point. Does not make sense.
So all you have actually done here is make an arse of yourself.