Dear Urooj, only those candidates who have been notified to re-upload the scanned images need to make the necessary corrections. However, if you have not received any such notification at your Registered Email or phone number, you are good to go. Ideally, the system will manually pick those applications that don't fit the instructions. And the servers automatically send out notifications to the registered Email and Phone number. If you didn't receive the notification, then you are good to go. Even you upload the photo because the servers haven't sent the notifications, they will not capture the changes made. 

Hii

No you are not supposed to change it. If your photograph has name and date written on it, it has no issue and will not be rejected because of this. You need not to worry, a photograph with name and date will be accepted by NEET authorities.
Also it is suggested that you upload a photograph with this format only i.e name and date should be written on it. So you have nothing to worry about.

Thanks!