Lightning bolt comes on sometimes

When I bought the Chrysler 300 2002 model I noticed
a slight hesitant when I turned the key to start the
starter wouldn't engage until a half a second maybe,
and after driving for 30-60 miles the lightning bolt
would come on and stay on til I turn off the car, also
while light is on temp gauge doesn't work, this
morning it would start, just clicked, after the 4th try it
finally started, it's done that 3 times today, do I need a
starter and is that why the lightning bolt light comes
on?