1a) Is it true that if I don't have maintenance performed every 30K miles, I will lose the warranty?

1b) If so, does this maintenance have to be performed by Hyundai?

 

1a. If you don't do all the required maintenance and that causes the problem then yes, your warranty will be voided. However, that's not maintenance every 30k miles, it's all maintenance like oil changed every 3k to 7.5k miles.

1b. No, but the maintenance needs to be documented and the parts used must meet Hyundai's specifications.