We did ship it with the extra parabolic spring on the back, have you broken one?
I would not open the radiators with the truck running. When it is hot you can feel the level of coolant in the bathroom radiator. Crack the filler cap on top and see if there is pressure.
The driver side leaf spring did break and was replaced using your old spare last year. You can see the middle one snapped in this pic. I found that after some truck drivers told me I was crab walking.
I thought the crab walking was done, but I got pulled over by another trucker who told me I was crab walking last month. I took the truck in for an alignment at Johns Spring and Suspension repair a couple of weeks ago in Reno, NV. The shop guys were pretty cool and told the axel was getting pushed back because the left rear leaf spring pack was 2" too long and was even causing being/wear at the mount points. However they did not have access to parabolic springs.
Pictured below are the spares you gave me and the one to the right is what was used to replace the drivers side. I still have the old set minus a piece from the broken spring. I didn't take measurements of the springs, but in looking at it and while looking at this pick. It looks like only the bottom spring is tapered and the others are standard leaf springs. If that is the case. Can't the incorrect springs be replaced with the correct length one using standard springs?
And thanks or the coolant fill tip. I didn't know of the engine needed to be on while filling it up to remove possible air pockets.