I don't think it's a big deal to have the tiles not centered in the doorway. To me, it's more important to avoid slivers and weird cuts. The "finger" won't be too fragile to lay, but you may break a couple tiles trying to cut it on the wet saw. Also, the "proper" way to lay tiles around doorways is to cut the door jamb with a jamb saw and run the tile underneath it. That would avoid the finger.

You might also consider pocket doors for the Mudroom entrance. A pair of them would echo the "paired doors" in the rest of the house and eliminate the need to accommodate any door swing. I agree with the others about considering a 36" range, I think a 48" is really too big for a kitchen this size. Is that small wall segment south of the refrigerator removable? If it is, I would remove it, move the refrigerator down to the door trim (or close to the end) on the southwest wall, and go with a larger refrigerator (or refrigerator/freezer pair), I think you will have more room overall. I would leave the DW on the right. Personally, I don't like prepping & cooking over a DW, especially if it's running or being used (loaded/unloaded/"let me just put this in/take this out"). You may not have an issue now, but when your family grows, there's a good chance things will change...including DW usage. So, plan for multiple people in the kitchen doing multiple tasks...a couple prepping, someone cooking, & someone cleaning up...all at the same time. For the sink wall, I would consider replacing the 16" cabinet with a 9" pullout and put the remaining 7" into the 22" cabinet to increase the workspace b/w the DW and sink. I would then take 3" of the 12" you saved w/the 36" range and put it into the corner cabinet. Take the other 9" and put that with the 22" + 7" to give you 22" + 7" + 9" = 38" total b/w the range and sink...a respectable prep space. Note that most likely this will be your primary Prep Zone b/c (1) it's next to a water source (important when prepping), (2) next to the range, and (3) between the range and water source. Secondary/tertiary Prep Zones will be on the counter b/w the refrigerator & range and on the island. But, since neither are next to a water source, it's very doubtful they will be your primary Prep Zone...regardless of what you "plan". (If there were a sink in the island it might become your primary Prep Zone, but I don't think it's necessary.) Island...I agree w/Palimpsest that you should increase the overhang to at least 15", preferably 18", and reduce the 21" deep cabinet to no more than 18". I would also keep the island all one level. (I can't tell for certain that it is from the layout, so I thought I'd mention it.) Window...since it's in an historic district, I'm assuming you cannot change the windows...is that correct? If not, would you consider making the window a little bit smaller to give the range hood some "breathing space" b/w it and the window? Other dimensions... It looks like the window is 78" wide and starts approx 18" from the east wall. It looks like the Mudroom doorway starts approx 48" from the north wall. The DR doorway looks like it starts approx 9" from the east wall. The larger Foyer doorway looks like it starts 6" from the south wall and is 48" wide. It then narrows down to the 37-5/8" you mention...18" from the west wall with a 15" deep wall. Are these correct? (Just a tip: When you post a layout, it's best to label all the dimensions on the layout...width of each window and doorway as well as the length of each wall segment. When there's an obstruction that cannot be moved, like the chimney and radiator, it should also be marked w/dimensions of it as well as the wall segments, etc. around it. This is explained in the "Layout Help" from the "Read Me" thread. I've linked to the entire thread, not just the "Layout Help" b/c there's so much helpful information in it.) Here is a link that might be useful: Read Me If You're New To GW Kitchens!

There's probably a way but at the very least if you have an iphone or android you could open the pdf and take a picture of it and then post the picture. :)

I don't think it is a problem. I think your eye travels into the room more readily than to the threshold. That being said, I know nothing about slate (except that I like it, especially w/ your brick), but 1+ inches seems like a decent size piece of tile. Is the concern because it is on the edge of the stairs? If it really bothers you, could you shift farther right, not centering three tiles, but increasing the visible piece presently at the left of your doorway to show a bit more? Could that eliminate your "finger"? Again, I really don't think it is a problem.