Aren't those "goofy" screws Robertson #2 screw heads? (ie: square ones)?
Those are the norm in Canada (and were invented by a Canadian, likely why they're not widely used in the US).
Here's a bit of info on them for you! =)
With regards to the rest, I have a bottle jack I carry as well. I made sure to buy one that goes up plenty high enough with a little help from some of the 2x6"'s I use to level the trailer when parked.
Threaded Mode
