These kind of little interface-inconsistencies seem to be all over yet.
E.g. I can open the skill menu with one char. In the bar to the left I now see the number of skills she has learned and can learn in a given category (e.g. 1/3 earth-magic skills). If I now switch to another character, the skill menu switches over, but not completely, instead I see some wierd mix between the old and the new char. E.g. the new char is a fighter, so I get warrior skills, but while he doesn't have any magic slots open, they get "carried over" from the previous char and show up as available, even though they aren't for that new char.
Likewise switching characters and inventory independently form each other can produce some inconsistencies in the displayed requirements for equipment. Meaning it's unclear whether requirements are calculated for the chars that are selected or for the char whose inventory is open.