First, the "Registration Card" is a voucher for you to report to the Personnel Bureau where your work unit is located (the normal class is the Education Bureau). You must report to the above-mentioned institutions with the Registration Certificate within the validity period, and then you can go through the formalities of file keeping and household registration.
Your registration card says Dalian, so you can report to Dalian Personnel Bureau/Education Bureau with the certificate. If you want to transfer files to Beijing, you must go back to school with proof to handle reassignment. You have no other choice.
Good luck!