Here is a link to google, how that backsplash should have been installed. There are some u tube videos too. I watched one video, where they used grout, between the countertop and the backsplash, and grout should not be used there. Caulking shud be done between backsplash and countertop. My backsplash is also caulked in all the corners, rather than grouted. Once you watch these videos and read these articles, you will see that your thinset was put on improperly, and thats why your tiles are falling off. Please read carefully. https://www.google.com/search?source=hp&ei=uI4VW7HdLszKjwTtrqSoAw&q=how+to+install+glass+subway+tile+backsplash&oq=How+to+install+glass+subway+tile+&gs_l=psy-ab.1.0.0l3j0i22i30k1l3.3755.12143.0.14244.41.29.3.9.9.0.173.3348.9j20.29.0....0...1c.1.64.psy-ab..0.41.3556...0i131k1j33i22i29i30k1.0.70wb9L5GlO8

lmao. what Jan said! Although, I had to help out my guys who did my herringbone wood floor. it's the starting point where everyone gets messed up. after that, it's simple. Look up how to properly start a herringbone layout and read it. you need to use a speed square at the end of your tile in order to get the proper middle starting point. much easier to illustrate than trying to write it out here. This is how I showed my guys how to start it. see the blue tape w/the two lines? you have to start on the middle after you mark your corner. that's the only way you will get perfect even cuts on both ends. this is how most do it, and it's not correct IF you want perfectly symmetrical left/right borders. All he's done is set the corner of the tile on the line. doing it like this will leave you w/one side smaller than the other: see how the sides of the window don't match? this is what you don't want. your tile guy should be doing a dry layout in order to determine where he starts so he doesn't get this look or these tiny triangles. Again,,,see how the ends don't match below? the right has longer tiles than the left edge. that's because of the way he started his first tile. And don't do these vertical tiles for your edging. get proper bullnose tiles, pencil liner or a Schluter edge. This is a layout board of my herringbone for my shower. took a few hours in order to get this almost perfect. since this was an odd size, and the tiles were even at 3x12, it couldn't be perfect. the right bottom corner triangle is the only portion that doesn't match. luckily, it's not readily visible! Even the subway tiles are perfectly matched. this layout took hours to get exact, even around the niche. 2x6your 3x9 will be 1/3 larger. 3x9 is a good size for a backsplash. this is a regular 3x6. again, a 3x9 will give you 1/3 longer.

I don't understand this question/photo. Are you going to rip out those old cabinets for new white ones? Are you going to remove the backsplash? If you want to keep the backsplash, new white cabinets would match. If you want a new backsplash, use a larger format style that includes the color of those old cabinets and doesn't compete with them. I personally would update both. The cabinets have seen their day, and that kind of backsplash is already dated. At the very least, I would have the cabinets painted a bright white and replace the countertop...although without seeing the floor, who knows?

That IS a little awkward. I'd look for very small molding trim pieces, paintable to match cabinets and sill, to go on that edge from the sill around the corner into the cabinet. Something like a L in profile that could cover the edges. If you have the chance to get it redone, have it end a few inches away from the window (like as far as the stool comes out to the side) and use a Schluter type of edging. At least caulk the edges with paintable caulk and ignore it. The big picture looks good! It'll only bother you when you're at the sink. :)