If you have a bit of trouble getting the steel post into the ground, you can get a long drill bit and drill a few holes to help break up the dirt. I’ve done that before. Drill bit will go through the frozen ground.
I always keep several metal stock panels on hand-- the kind that connect together with pins (round-pen type panels). When a post or rail gets broken I just set the panels up to horse proof/secure the paddock/pasture (a really quick, sturdy fix) and then repair when weather allows. I just tie the panel to the nearest good post with plastic baling twine (top, bottom and middle)–plastic baling twine is really strong and holds up! It looks crappy but it works.