Root canal, had veneers remade already, not happy with second set. Can I ask for them to be remade? Will this damage teeth?

If your dentist does not work with technology nowadays specially for smile design it is a problem. This is a long term treatment (high quality veneers might take up to 10+ years). Because of this the digital smile is so important because you can see the results before.For your case I suggest to contact your dentist and explain all your concerns, however if this is not his specialization he might damage your teeth. Look for High qualified Dentists not the cheapest price. Every professional should work only on their field. Any dentist can check if you need a root canal done but only a high qualified is able to fix your problem.