Changing the name in I.D card would be much easier as compared to changing name in Degree's.

Change in particulars of NIC can be done through Online portal of Nadra or visiting any Nadra officer.

for change in particulars of Degree, You'll have to start with Birth Certificate ( if the fathers name is different ) then go to your primary school to get the records changed, get the new certificate, take that to the education board for matriculation, get that entry changed, then to the intermediate board, finally take those documents to the university you have graduated from.