Thanks, Kaiju. The answer to your first question is "sure!" lol
To your second question, yes, I kept the fob in my pocket the whole time and you can lock/unlock the doors, and open the trunk just having it nearby. I didn't notice that at first (my Mopar still requires a key to lock the doors - 1965 Belvedere).
I had the fob in my pocket when a friend drove the car, I got out to take a pic and the dash warned that the fob was almost out of range (I think he said that the dash showed "Fob has left the vehicle" or something like that. It didn't shut down, as I was only a few feet away. I actually liked that feature about the car, but didn't include it because I was told all the current models did that.