Why the lights come on at night by themselves and it is not the security system

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I have had several instances of the headlamps and tail lamps coming on just as if you picked up the door handle and security was set. We keep the keys well away and I have went out and never found any sign of it being someone trying to obtain entry to the vehicle. The high battery warning has been coming on lately although battery is < 1 year old and both keys have new batteries and are charged to system regularly. Appreciate any insight!!!