Something weird is happening but I'm just not sure what. I think it would be sort of hard for batteries to d/c to the point you can't charge them after a week but batteries can be mysterious things, etc. Also, yes, if you have poor quality batteries or counterfeits well, all bets are off. Buy some reputable batteries and make sure you are buying from approved vendors.
The charging error USB thing is a bit of a mystery that sort of tends to make me wonder if your mod is somehow faulty, but the only way to know for sure without starting the warranty process would be to take it to a vape shop and see if they can test it for you with different batteries and see if it works. If the warranty is expiring soon, I'm not sure I'd wait to get new batteries sent and etc, (although if you want to keep vaping you may need them and etc., in either case).
Battery info. If you want a little light reading (don't do it all at once, but do learn some about battery safety and the importance of batteries in vaping, etc.)
Good luck,
https://www.e-cigarette-forum.com/blogs/mooch.256958/
https://www.e-cigarette-forum.com/blog-entry/baditudes-blogs.7609/
Anna