Logging winches are awesome but can be a PITA if you need to swap 3PH implements all the time to use it. I normally put it on in the fall (after summer chores and before snow blade) for pulling down trees and such.
For the marine winch, the picture below better shows its components. Mine has a corded remote control (no wireless on mine), snatch block and the hook/plate pictured in the bottom left of the picture. For that loop/plate, the 3 pins sticking up slide into the bottom of the winch and the loop fits over the ball on your drawbar
or I just run a chain through that loop if I'm not using a ball. I keep a deep-cycle marine battery on the shelf next to the winch as my power supply or you can use your tractor's battery for power. There's a hand crank if your battery is dead.
I also keep a 1000w inverter with the battery as it's a quick source of AC power if you have a power outage at home or for when my son goes camping so he has power for lights, stereo and cell phone charging.
The winch and it's components fit in a milk crate and the battery is in a marine box. Both easily fit on the back rack of the ATV so I just haul it to where needed using the ATV if I need to go far.
I don't use it much on the tractor since I make it a point not to get stuck but it's recently been used to pull a dead tractor onto a trailer using the winch cable attached to the a-frame at the tongue and then just winch it onto the trailer using the remote from the tractor seat.