Hey there! I've ordered a lot of stuff from China before and living in Canada, I can say my deliveries usually take up to about a month. I don't recall ever getting something in 5 days, wow.
Unless you payed a ton to get it shipped that fast, I'm thinking perhaps they meant they'd be able to physically go and ship it themselves, not that it would be at your doorstep by that time.
Anyway, as someone previously mentioned, you should have no fees that you haven't already payed via ebay. At least I never have, and I've ordered quite a bit from there. Batteries, cosplay stuff, makeup, etc...