Everything went fine on the cooler replacement without me having to mess around with the hoses. Here is a picture of the new unit installed before I put everything back together:

I thought that I might have to loosen the hoses where they are attached to the fittings in the tractor floor, but I found, as was suggested, that they just flared out enough for me to be able to put the banjo bolts back and catch the threads square.
Once I put everything back, I fired it up and no leaks. I ended up putting a entire gallon of the Wal-Mart fluid in to get back to the line on the dipstick. I then warmed it up - 25F here today, I've learned my lesson - no cold starts, drove around the property and found no leaks. Yeah!
Thank you to everyone who advised, helped and gave me suggestions.

I thought that I might have to loosen the hoses where they are attached to the fittings in the tractor floor, but I found, as was suggested, that they just flared out enough for me to be able to put the banjo bolts back and catch the threads square.
Once I put everything back, I fired it up and no leaks. I ended up putting a entire gallon of the Wal-Mart fluid in to get back to the line on the dipstick. I then warmed it up - 25F here today, I've learned my lesson - no cold starts, drove around the property and found no leaks. Yeah!
Thank you to everyone who advised, helped and gave me suggestions.