I think that should be OK..even I have some such small issues.
yes, wait for CIC to come back (or return application) if they need anymore detail. If not, you are good to go. No need to jump out of gun. If they are asking BC again, then affidavit would be next best option for you.
Have you submitted your SSLC? because, for my friend they returned the application and mentioned that either BC or secondary school certificates showing your parents' name and DOB are the only acceptable DOB proof!! He even had submitted his marriage certificate.