Good questions! I worried about each one of them my first time.
I use the pink antifreeze with a Tee on the inlet to the pump. I turn the T valve to suck antifreeze out of the jug (used to have to prime that short length of tubing with a syrup bottle filled with antifreeze but a new pump membrane draws it right out of the jug).
After pumping pink through all the taps, and toilet, I very carefully open the city water inlet cap a wee bit until pink stuff begins to come out. Opening it wide with the pump on blows the check valve.
I shut off the pump, then open a pipe joint to let air into the tube going down to the tank underneath, which makes the water fall down into the tank under the floor.
The freshwater drain is another concern for me, as it is the point most vulnerable to freezing on my RV. I have a plastic tube on the tap which makes a very reliable indicator of water level. With the tank empty as I can get it by draining, I fill that tube with antifreeze and open the tap so it flows into the tap and low point inside the tank. I try to put about a cup full in. There may be a little ice in the tank but the tap has never cracked.