Knightfall
World of Kulan DM
This sounds like a series of skill checks. I would say one roll each of the following at a DC of 30 for 'volunteers from the refugees' and DC 25 for the keep's Watchers: Computers, Engineering, Life Science, Medicine, Physical Science, and Piloting (maybe). Add a Profession (mercenary) check at DC 15 to give a +2 circumstance bonus on Yin Hun's attempts at training. The results will be mixed, regardless. You trying to teach people without much knowledge in advanced tech to learn the basics' in only a week. They will likely pick up key knowledge for Life Science and Medicine since those skills are closer to the world they known. Computers and advanced Engineering abilities won't be as easy to teach. I'm going to assume that Yin Hun is going to focus on tactics, weapons, and armor unless you note otherwise.
Plus, he can earn some local coinage (SFCR, p. 146). The local merchants won't take Imperial credits as substitutes for hard currency, although most of Yin Hun's credit will be digital on a credstick. He might be able to sell that credstick, but he won't get hardly anything for it (maybe 1 to 5% of its value). If he has physical credits, he'll likely only get 1 copper per credit, as local merchants wouldn't see any real value in them other than as oddities. Of course, that will change once the Empire takes over.
A Diplomacy check (DC 28) will be required to convince the Gatewarden to train keep's Watchers without his direct supervision, which will minimize results. (The man is a bit of a control freak, although he's always polite about it.) And depending on how intensive you want it to be, Yin Hun might have to conduct his training outside of the keep, especially if it means advanced weapons training. No firing pistols or longarms in the keep!
The monks will likely want to learn as much as they can about Computers and The Keeper won't restrict his people from learning such knowledge. He'll likely want to learn some of it as well. Of course, this all depends on good diplomacy.
You can choose to have Emiko take the normal 24 hour period or roll a Diplomacy check (DC 30) in order to gain access to one of the reading rooms. Note that failed check means that The Keeper will make Emiko go through the 'advanced' process and it will be even more grueling than normal.
Yin Hun can somehow clearly explain to primitives about thinking machines, but not the electronics behind them.
