I have two concerns 1) there is area on passenger floorboard on the left next to

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Middle column that got hot enough to melt floor mat. What would have caused this? 2) why when someone sits in the vehicle for an extended pediod of time (a number of hours) the vehicle wont start? Has occurred multiple times and had battery changed. On one episode there was a clicking noise and some flashing of dash light just before it happened. It does not do this if the engin is running during the time someone sits with the vehicle for an extended period of time.