I'm sorry. It's really hard when you aren't the one in decision making authority. It can feel helpless sometimes. I have bought chicks from Hoover's (even twice this year) and never had a problem with them. But we are in Florida so shipping stress due to cold isn't as much of an issue.
Will your mom let you give them a nutri-drench?
If you have the box from the lamp, it may be on there - or if you know the brand, you can look it up online. But defying your parents to look at the light is not a wise decision. It's likely to start an argument that will detract from other causes we may be able to help you with.