Perhaps there is a problem with your starter/ignition switch in your column? I would look there next if the starter is still running after you let off and the engine has started and the solenoid has been replaced.
The AutoGuide.com network consists of the largest network of enthusiast-owned enthusiast-operated automotive communities.
AutoGuide.com provides the latest car reviews, auto show coverage, new car prices, and automotive news. The AutoGuide network operates more than 100 automotive forums where our users consult peers for shopping information and advice, and share opinions as a community.