Gonna fix up your genes, you've got one wrong (and it's a confusing one, so I'll explain why, and how it works!).
Blue W/ tan points and ticked irish spotting
Kk BB dd atat EE gg hh sisi Tt mm XX ZZ
Everything is good except for the underlined one. We're going to be dealing with the two bold genes to explain this. I'm going to be flat out honest: I started learning this years ago, and this one pairing trips even ME up, since it's a bit odd. It works in an unusual way.
BIG K is "solid black".
little k is "non-solid black".
This means that BIG K hides EVERYTHING except Merle (BIG M), one gene in Extension (little e only), Harlequin (BIG H) and white markings (the S gene set). little k must be present for the "A" genes, or Agouti genes, to show. This includes Sable, Saddling, Tan Points, Agouti, and a rare gene called recessive black, which looks like solid black. Solid means that the dog shows one primary color (black, blue, liver, isabella, or red), and non-solid means the dog shows a black base (black, blue, liver, or isabella) AND red.
Here's a fast guide. _ means that any letter can go there, Black can be Blue, Liver, or Isabella, but not red.
K/_ Ay/_: "Solid" Black
K/_ at/_: "Solid" Black
k/k Ay/_: Sable
k/k at/_: Black with red points.
Does this make sense? So instead of "K/k at/at" you actually have "k/k at/at", otherwise the points would be hidden and the dog would be a blue solid with irish spotting and ticking.
Otherwise, this looks EXCELLENT! Good use on T/t... it can be a rough call, as T/t ranges from few spots, to a high number concentrated in areas. It can be difficult to draw the line at times, but this IS within T/t, which a lot of people struggle with.
Tiny little note--I use the slashes since I usually deal with a 19-gene version of this, and it helps me out. They're not required in canine genetics.
Edit two: nose should match the black base, just a tip! It's controlled by the same gene.