Yes. It will definitely create problem in future. Why did you keep quite when your 10th and inter certificates names are not tallying. Before you complete your degree you might have got it done. It is very late. Now you have to start with your 10th certificate correction through the school you have studied. Then you have to contact Junior college Principal for correction in Intermediate certificate and University for correction in degree certificate. You can go simultaneously to Inter certificate and degree certificate after getting tenth certificated got corrected.
You have to follow the procedure as per the directions of school. They will advise regarding the certificates required . You have to act quickly. Otherwise problem will get more complicated.