Toyota Camry 2000 XLE V6 3.0L problem?

So about 9 days ago a deer ran out in front of me at about 35 mph and it hit on the right front.  Since then I've gotten both headlights replaced, and some of the metal bent back to where it once was.

When the car is completely turned off, no key in the ignition, and all doors are closed, you will hear CLICK!.  It could be 10 seconds later, could be 15 seconds later, CLICK!  And this goes on non-stop, maybe started a day after I hit the deer.  Two days ago I was sitting in the work parking lot, click click click click click click click click CLICK, and the constant clicking sound stopped.  Then about 5 seconds later, CLICK! and click click click click click click CLICK! and the constant clicking sound stopped again.  I turned the car off, took the keys out of the ignition, and that single CLICK! sound is still there.

I'm out on the east coast and when we got that big snow, well I had a car cover on my car.  When I took the cover off and opened the car door, no lights came on, put the key in the ignition, nothing.  Battery was completely dead.  The car currently is at 14.00 volts, and holding positive on alternator and negative on battery also showed something like 13.98 fluctuating +- .05 maybe.  So the battery is getting a charge.  And at work, I needed a jump to get it going.

I'm wondering, could this CLICK! sound be something that is trying to engage and is draining my battery?

Thanks.