It typically comes out a little harder than lard, but I've never made a batch that was crumbly.
If you didn't get beeswax directly from a beekeeper, I'd suspect you used the synthetic beeswax now sold for toilet seals. Real beeswax can be difficult to find at times.
I have no clue. Your proportions are correct. Your ingredients are correct.
I don't use the lubricant named after me as a grease over balls. Rather, I use it to lubricate wool felt wads, patches for my .50 rifle, a bullet lubricant when used with black powder, and for dipping loaded heeled bullets into after reloading into a case (the formula's original purpose).
It's too hard to smear over the lead ball seated in a revolver chamber, unless you use the point of a strong knife.
It will soften in hot weather, but not as much as Crisco.
However, for cap and ball revolvers, it's best used as the lubricant for felt wads twixt ball and powder. I've used it in hot weather and the lubricant in a felt wad doesn't seem to affect the powder. However, the pistol was loaded the same day it was fired, so perhaps longer periods in very hot weather would contaminate the powder. I don't leave my cap and ball revolvers loaded.