I followed several pieces of advice, heard (herd???) molly's to the eel to trigger a feeding response. HOWEVER
I always had success getting them to eat raw shrimp as their first meal. If you decide to get one, we will cover feeding triggers. As it can be a lengthy process. And, dim room lights + a tank light brighter than the ambient room. Not overly bright though.
Eric is pretty smart with shipping the eels, mine had a gallon of water and it was clean. So, I do trust his skills in shipping the eels.
I did not see velvet, or ich with my eel. I look out for marine leeches. Rare, but they can appear as morey eels are their main host.
But most are rather clean, that slime coat is pretty thick.