Starter issues.
 

I replaced my starter on a 2001 chrystler sebring sedan because of starting issues. The (new) starter will start it up quickly but then proceed to stay engaged. Turning the motor off stops it. I returned and got another reman (only one I could get in person) and it does the same thing. I've replaced the ignition switch, and ignition cylinder. Checked my battery connections my grounds that I can find. Disconnected the small black cable to see if the statter would stop after it started and it stayed engaged. Running out of ideas. Any helpful tips?