Odometer cable is typically connected to the transmission if there is one at all (many modern cars use a hall sensor now and still in the transmission).
Brakes can be either electric or surge your choice. You'll find many opinions about each and each has its plusses and minuses.
Our dolly has surge brakes (
https://cartowdolly.com/). There isn't much you do with them they either work or they don't (ocassionaly have to check the brake fluid and/or the pads to make sure they are ok). The dolly comes with a cam to disable the surge brakes if you are trying to back up--something you do very very rarely (as Dave mentions: There are two pivot points making backing difficult: The hitch, and the front wheels on the dolly).
You may also want to consider the car+dolly: Does the steering lock on the Civic when it is "off" (and key-out)? If so you may want a dolly with a turntable instead of a fixed one like the cartowdolly one (The
https://www.mastertow.com/towdollies dolly has a turntable so you don't have to unlock the steering).
If you can't lock the steering you may want to opt for the fixed dolly.