how to design parent child form in crm ?

I m designing a school form in crm. It has these fields:

• Student Name
• Address
• Email
• Phone
• Class
• Admission Date
• Class Admitted

I have used Contact entity and created a new entity AdmissionForm.

First is it good design i m trying to reuse Contact entity and use it for first 4 fields or I should add all fields in AdmissionForm ?

Many times user will directly come to 'AdmissionForm' form, how I can provide Contact fields on its form so that when user save AdmissionForm record, it should save data of contact field in contact entity and data of AdmissionForm in its entity ?

Please tell me if there is a better way to do this. I m new to CRM but have idea of its features. please tell what I should use.