I have been using mine for over 8 months with no issues. When I connect the battery to my garage trickle charger, I disconnect the cable, as sometimes it acts weird. No battery drainage at all, but if you are concerned, disconnecting it is easy. Connection to the port is very secure.
I am thinking about going the same route on mine. Have you noticed any difference in mileage, ride and road noise with the Falken tires? (as compared to stock ones)
Do you notice the door rattle when there is a passenger on the seat? I have a similar rattle and it is the seat rails (recall-waiting on a fix from FORD). With a passenger it doesn't do it. Worth checking the DIY window alignment and rattle solutions on this site.