Welcome to TES Alliance
Can't see your screenshots, getting an error (pretty sure bmp is not an acceptable format on this forum), so not sure what you're trying to show.
So, a few things;
- Never coc into a cell you're trying to test. Using coc doesn't allow scripts and events to start correctly. Have a clean new character (meaning a character that has never been subjected to your mod before) enter the cell properly.
- Where did you put the merchant chests? Is it in this same cell? Are these new custom chests for each merchant? If you copied any part of the vanilla game you could have contamination, such as the affecting of the vanilla NPC's.
- Do your merchants have the proper AI packages to offer services? No idea what tutorial you followed but have you looked up others that may have different advise?
- Did you create a new unique services faction for each merchant to set up their vendor details? (for example, Belathor has ServicesWhiterunBelathorsGoods). I stress unique because this is where you point to the merchants chest.
Just a few things off the top of my head to get you started on troubleshooting. Good luck.