Go back to the manager and demand your money back for the calipers. You did not need calipers.
Brakes squeak because the pad is moving in the caliper very fast causing metal against metal to squeak. They should have put anti-seize on the back of the pands and on the ends where they mount in the calipers. Honda also has a thin metal plate that fits on the back of the pad, called a shim, specificly designed to reduce the squeaking noise. When they installed the new pads they probably through away the shims because they don't know any better. They should fix the noise for free or give you your money back for the brake job. Ask them for your calipers back too, if they still have them. If they refuse to fix your car, ask for the Midas corp. customer service number and complain to corporate and contact the local Bureau of Automotive Repair(BAR) and file a complaint with them. Auto shops don't like the BAR on their back. Midas has a satisfaction guarantee I think.
Lastly, take your car to a good Honda shop(AAA approved) or the dealer, in the future. Always have only Honda parts installed, especially brakes. On the work order, check the box that says, "Save Old Parts." This way if you have any question, you can show the old parts to the Dealer and they may be able to tell if they are bad(depending on the part).
And last but not least, you can sue in small claims court and you will almost always win(99%). Auto shops, even the Honda Dealer, almost always loose because them know better than to cheat the customer and the court sides with the customer.
Let me know if you have any other questions. I accept "Answeres" e-mail.
Good luck