Hi and welcome to the forum
Before to reinstall windows, there are a couple of tests you can do
First of all, do you have this problem only with burned DVD or with every DVD?
Because of the drive has two separate lasers for DVD and CD, if you can only read CD but no DVD at all, it is possible that the drive is damaged, so reinstalling the operative system will not fix the problem.
If you have problems in reading only burned disc but pressed discs can be read fine, then the problem is not in the drive. Burned discs can become unreadable so there is no reason to reinstall operative system.
To be sure that operative system is not involved in any way in the drive malfunctioning, you can run an easy test. Download a linux distro like Knoppix and burn it on a DVD (ask a friend some help if you don't have another DVD burner available). Then, try to boot the computer from the knoppix DVD. Don't worry, the disc will not make any change in your system, you only need to check if the drive is able to read the disc or not.
If the system can boot from the knoppix DVD, then there is something wrong in the operative system, but again, before to reinstall report the problem here, we'll try to fix it in some way