I agree with Ryedan. Unfortunately yours has all the "what's wrong with this picture" attributes of the fakes. See pictures here as well. ~>
AW Batteries - Authorised Dealers
Personally, most
batteries I get in classifieds deals I end up just tossing. I never consider used
batteries when buying gear as part of the deal. I have received batteries charged over voltage, with protection circuits tripped etc. Lotto "used car salesman" going on with talked-up used batteries some times. Bottom line: I have no idea how they were used or abused - it's not worth it.
Having said that, if you ever need to re-wrap it's easy enough to do. The next time you go shopping just pick up some wraps made for the purpose. I just got a 10 pack for less than two bucks at RTD Vapor, but many other places are now carrying them. Pre-cut for 18650's and you just cut them down as required for 490/500 or 350 length batteries. You can use hardware store shrink wrap, but the stuff vape places are selling is thinner than stock electrical shrink wrap - less likely to cause a problem making "fat" batteries that won't fit into some PV's that have little spare tolerance regarding the diameter of a battery.