Tire Pressure Light On problems of the 2009 Honda FIT

On may 21, 2010. My daughter had a blow out on her 2009 Honda Fit sport that she purchased in February. Two weeks previously, she had the oil changed and the tires rotated by the dealer and no problems where reported. On may 21st, she was driving down hwy 99 at 65 mph, when the low tire pressure light came on. Before she could figure out what the light meant, the back rear driver's side tire blew. It was completely separated from the wheel itself at the wheel with some rubber still attached to the wheel. We were assisted off the highway by chp because the location was too dangerous to wait for a tow. We had aaa respond and put on the spare and we drove it to the dealer. There were no obvious signs of damage to the tire, except for the blowout. I had the dealer replace the tire (they waived the labor) and had them thoroughly inspect the remaining tires for damage. Two weeks later, on June 4th, the front drivers side tire blew out with no warning at all. She is certain that there were no potholes or debris in the roadway. She barely maintained control of the vehicle and got it off the roadway. Chp responded to assist her. There was a fist sized hole in the tire in the sidewall and the rim was severely bent. The tow truck driver who responded advised that it appeared to be a faulty tire. We took the car back to our dealer. Again, they are claiming it had to be a road hazard. I am extremely concerned for my daughter's safety driving the car. I have asked them to inspect and put in writing that there is nothing wrong with the remaining tires or to replace the two left from the initial batch of tires, but they are refusing.