Regarding towing a Honda Fit Automatic, this info is on other threads, but it bears further emphasis. I tow a 2013 Fit automatic and in a campground recently, another RVer approached me to talk about the Fit. He said that his Fit toad required a new tranny and he claimed that he had done everything by the owners manual. So I reviewed with him my little cheat sheet (a laminated photocopy from the owner's manual). He kept saying, "I did that, I did that," until I got to this: "Severe transmission damage will occur if the vehicle is shifted from R to N and then towed with the drive wheels on the ground." Then the fellow camper did a double take and acknowledged that he may have violated this.
Here's the way I look at it, though automotive engineers might critique this: Shifting from R to N is only half of the shift in direction. Moving from N to D completes the transition. So if you merely move from R to N and then drive the car, you are pulling the car forward with the trans not fully out of Reverse. And that will ruin the auto trans.