So you're running two threads on this space? I think you'll be happier with the responses if you stick to one thread for the entire makeover, as it is all inter-dependent - foyer - living - dining. Now that I know that the living dining are together I'd suggest you use measurements from the blocked space above the windows to determine stripe width in the dining space if you go with the wide horizontal stripes I suggested. The pattern is already set for you if you take the measurements. You could also make the stripes the width of your lower window section, or half of it, but use the horizontal lines already in your space to determine the other stripes you may add.

I think a comfortable distance between the island and the counter is around 42". It seems that you have only 30" between your cook top and the counter. I might be a little too tight. The wall between the entrance and the kitchen could be 4' long instead of 6', you would then be able to move the island a foot which would give you more room between the cook top and the island. Could you switch the location of the toilet and vanity in your dad's bathroom so your enter facing a vanity instead of a toilet which is a lot nicer.

A good tile installer that knows what he is doing, can easily remove that single piece of tile.... carefully replace it with another one. Do you have another extra pieces of the same tile? Do you know what brand and color the existing grout is? That will be more of the issue trying to get the grout match to match up or the finding the same tile (in the same dye lot) if you need to buy another tile. Did the heat cause the break or did a pan bang into the glass? Consider installing a heat resistant Lumicor or 3 Form panel behind the stove. Any flat material that can be sandwiched between two resin panels. 1). Crushed glass. 2). Fabric. 3). Fabric. 4). Fabric.

Yes they do have similar styles in porcelain, but to me it doesn't look the same. Search around that site and see if any of the other tile designs in other materials strike your fancy. I know you said you don't like the subway, but you could get a glass tile in a 2X8 and lay it in a herringbone or find shorter ones and do a chevron. Don't know if you care for mosaics, or penny rounds, those would also look nice. You are going to have to narrow it down to a look you are drawn to, and then go from there. Search kitchen backsplashes on here to get some ideas as well.