We tend to point EVE players to using the
ISBoxer EVE Launcher (scroll down a bit for the download link and instructions), which gets around having to use the CCP launcher, which can be a cause of issues when multiboxing.
But if you don't want that, then it sounds like something is not closing down properly, so Inner Space is not recognising that the launcher has finished (and closed down) so it can start launching the next client. Just a case of checking to make sure any appropriate option is selected in the EVE Launcher, or using TaskManager or similar to see what is not closing, and then maybe giving it the old "(ex)Terminate". Woooooo Oooooo Ooooo Ooooooooooooooooooo...... (c'mon it's Dr Who).
And the other option you are looking for is on your character set. Be wary.