When I click on a character, change tabs to a different tab from the first one and then go back to the member list and select another character, the second character comes up on the same tab as the first one was on when I left it.

Yeah, this is actually how the tabbing code works. It remembers the last tab you were on in a Session variable. It should populate the tab with the new data of course. If it is populating data from the previous character then yes, it is a bug.

I'll try to tweak the tab code to not save the current tab on the char pages

I will not change it to save per character, I think there is a limit on how many cookies you can save per site.

We might be able to re-write the tab code to store all tab saves in one cookie variable...

It shows the right data for the second character, it just shows the last tab selected, but the right data is shown.