I'd like to remind everyone that the right place to ask KPilot questions is in a forum that actually gets read by KPilot developers and users -- that forum is the mailing list
kdepim-users@kde.org.
Autostart / autostop was broken from KPilot 4.0 through 4.4.6, and is fixed in KPilot 4.4.7. You will have to go through the config dialog again, though, and check and uncheck the box (or fiddle with it) and then hit apply or ok.