The job is supposed to make you happy, not them. You know if the job is good or not. Put in writing what you want corrected, give them a copy and keep one for yourself. Everything should be consistent including the color of the grout and the caulk. Take some pictures or get some from a magazine and show them to your contractor so he knows for sure what you want. Find a tile guy who has done work that you like and ask him to come out and give you a opinion. You'll probably have to pay him a little but it will be worth it. He will explain what is correct and what isn't and then you won't have any questions. Make sure you tell your contractor what you want in writing and keep a copy. I had my shower retiled and told the guy I wanted all the corners coved. He came out and started setting the tile without cove corners. I had coved corners written in the estimate. He said the tile maker didn't make the cove tiles. I told him to stop the job and I would order from a manufacturer that made coved pieces. Next day he had the coved tiles. Another instance, I remember my uncle making a tile guy redo a curve around a kitchen four times. After all that, if the guy can't do the job you want, get someone else, but keep your letter and take photos of his work.

tsherman-- You should be fine with that small joint at the bottom. I'd ask them what they're using for caulking, though, if their intent is not to use the caulking made to match that grout. if you don't like their choice, or if it even makes you uncomfortable, demand they use the caulking made by the grout manufacturer, made to match THAT grout. You should be okay.

Thanks for your reply... I'll sleep a little better tonight.

They reset the 3x6 tiles today and used spacers but the joints are still (somehow) inconsistant. To add insult to injury, some of the tiles are falling off the wall! To be more accurate, some are sliding down, and some were wobbily and I took them off before they fell and broke. Already called the foreman and asked that he send another crew as these guys don't know what they are doing.

Looks like tomorrow will be another long day... thanks again for your support and advice!

If they used spacers, how are they sliding?

they took the spacers out as they went around the room. Also, after they left I found a spacer on the counter and noticed that although it fit in the vertical spaces between the tiles, it was loose. Tiles weren't "packed" around the spacers when they were installed - as if they used spacers as a guide but not to hold them in place.

I left a 1/8" gap between the granite countertop and the travertine tiles on the backsplash. I later filled it with a color matched silicone caulking.