First, watch this:
Second, If you google the tire brand and specs you can easily find the depth of the thread on new tires - usually around 11/32”. Measure yours - should be easy to figure out if the tires are indeed new. If the tires are not new, based on thread depth, go back to shop #1 and ask the manager why the new tires you requested were not installed. If they dont fix it after checking it themselves, i would tell him/her directly that I will file a complaint with the state attorney general, the better business bureau and also a bad yelp review. You can also file a complaint with your credit card company to get a charge back - clearly the products you purchases were not delivered.