Queen Dead On Arrival

New Beekeeper here! Our queen and all of her attendants were dead on arrival of our package bees. Here's the story:

We are Floridians who just got our first package of bees from Mountain Sweet Honey Company (beginning to regret this choice). Hive was prepped: baseboard, deep brood box with frames spritzed with sugar water, sugar water feed ready to go, entrance reducer in place. Shipping label made May 6, package didn't arrive until May 14. Package arrived in the morning and we removed the metal can of syrup to find that it had only a handful of tiny little holes punctured, hardly enough to feed 10,000 bees during transit. Then we remove the queen cage to find that she, along with her attendants (about 5) were all dead. Dead on arrival, with candy perfectly intact, none of it chewed away. It's our first time handling bees and things aren't going so well in this moment. We set the cage aside and dump the bees into the hive as normal. We place the cage with the dead queen and attendant between the center frames, hoping that if she is still giving off a little pheromone that it will continue to unite the bees. Called Mountain Sweet Honey and reached a customer service rep that seemed to be making up answers on the spot to our questions, but told us that there could be another queen that got dumped into the package that has superseded the queen that was in the cage with her attendants. Refused to ship another queen to us. She asserted that the workers may have stung their caged queen to death, but after some research I'm discovering that it is indeed possible that a second queen was in the package, was accepted by the workers, and the workers suffocated the caged queen/attendants. The colony was flying all around and above the hive at first after being dumped into the hive, but the worker bees were still extremely docile. We put the lids on, left the package at the front of the hive and left them alone with their sugar water feeder (which they have been draining quickly!), they have integrated extremely well. No irritation, no agitation and they were already getting to work on the comb. No loud buzzing from inside the hive either, and they were acting as a united colony (at least to my untrained eye). This leads me to believe that there is another queen that was in the package. I have a contact 45 minutes away that has mated queens immediately available, but if there is another queen, the introduction of a new queen will be pointless as she will be smothered as well. We are going to inspect in 2-3 days and look for a queen as well as any eggs.

Any advice? Have you been in this situation before? I'm guessing that if we find eggs, we will be able to tell if they are drones laid by workers (which would indicate queenlessness) or fertilized eggs being laid by a queen (drones=egg stuck on side of cell vs fertilized=egg in the center of the cell).