I think you're slightly confusing the term "cold crash". Cold crash is when people drop the temperature of the primary fermenter at the end of fermentation (ie, around week 2 in your case). It helps the yeast drop out of suspension so you get clearer beer into the bottles/keg. You don't need to do the cold crash and can just bottle/keg from the fermenter at room temperature.
Then (when bottle/cask conditioning like you are) you add the sugar and let it referment for another 2 weeks - the sugar gets turned into CO2 by the yeast and carbonates the beer. At this point, it's still fairly cloudy with suspended yeast.
Then you cold condition it (not called a cold crash at this point, even though it's basically the same thing) which at this point if the year is "chuck it in the garage" (even in summer, if you can't cool it you just leave it in a dark coolish place) and the yeast (which has finished fermenting your 85g priming sugar) drops to the bottom of the keg and the beer clears. This is normally for a couple of weeks, but can be shorter.
After this, the yeast has settled to the bottom of the cask so when you pour the beer out of the tap it should be clear and fizzy (apart from the first pint which will contain the yeast that's settled inside the tap/pipe etc).
In short, your doing the right thing:
2 weeks in the fermenter (warm)
Put into keg with priming sugar
2 weeks warm
2 weeks cold
(Keep until you want to open it, it can last months)
Drink