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Well mr Lizardman chef is pretty much screwed. He can't fabricate much more than basic tools nor is he a skilled shipwright, but he has a pretty good chance at winning over the VIPs if he can get something in the water to show them. Being an actual pirate sailor gives him an edge in judging ships himself, but that's only helpful if he can find something he can work with, or pay someone to work with, on such short notice.
A water-facing capital city is sure to have something, and with his excellent memory, sufficient charm and excess of money and muscle he should be able to acquire a serviceable ship, though it will cost valuable time.
So he has a basic vessel, that's the lowest bar to cover. There no chance of miraculously turning this into the best exhibit in two days, nor can he manufacture an illusion either, so all efforts go into getting some artists renditions as visual aids and charming the VIPs into taking his word for it. He will need a talented artist to assist, which again is valuable time and money, but at least that is within his capabilities.
Then it's all down to showmanship. +9 on a persuade plus guidance and advantage from circumstances up to and including Charm magic he can easily clear 'hard' DC 20, although the dice could be kind or cruel of course. 'very hard' DC 25 is certainly feasible, but 'impossible' DC 30 is likely out of reach.

Given the amount of uncertainty and outside assistance required, i'm not comfortable giving my guy more than a middling result.