Refused login (password problem?)

What does this mean? It doesn't snipe

That means eBay refused your login. This usually happens when you changed your password on eBay, but you did not update it on Myibay account.
You should always login with your current password into Myibay so it will keep it up-to-date.

I could give you more information, but I need at least the item number in question.

This one 320583512908. I can log into eBay OK, and never changed my eBay password

eBay did not provide any error message for this one. Just logged out with no reason. Myibay tried to re-login, but it did not help.
There used to be a glitch long time ago -- when sniping is working and you are logging in at the same time, then eBay may logout the previous login. Try not to use eBay when auction is about to end and see if that will help.

I wasn't logged in to eBay when it sniped

what could be the problem?

eBay did not provide any information.

Maybe it's somehow related with you having too many accounts?
The other reason is that your password is too weak so changing it something stronger may help.

Hi Sashka

If I change my eBay password, do I need to change it in My iBay Profile - My Security - My eBay Password: as well?

You just need to login with your new password into Myibay and it will sync it automatically.