Mahavir, Your 10th marks sheet is considered the proof of date of birth for various entrance exams and admissions. And the Supreme Court has mentioned that it is not mandatory to give Aadhar card for admission and entrance exam purposes. But now if you have furnished Aadhar card as a document for valid id proof, it will be considered and the issue of admit cards might pose a problem. Please reach out to your school immediately and they will help you with the next course of action.

Hello,
Yes, the aadhar card is taken as an identity proof, so your information in class X and XII marksheet, what you filled in form should match with your aadhar card.
However, you need not worry as it is easy to get your aadhar card updated. Contact your nearest E-Mitra or bank which is responsible for aadhar upgradation. Also, you might face some problems in updating due to current lockdown, so do sent a e mail to the authorities whose email id you can get from the official website where you filled the form.

Good luck