Hi there and be welcome!
It is a known fact that some DVD readers are very poor readers. AFAIK, this LiteOn drive is not one of them. However, it can still be that the drive has problems with certain media or so. Are the discs you used all of the same brand/type?
I assume the drive works furthermore correctly... right?
A good start might be to try to update the firmware of the device. Firmwares (internal software of the drive) can resolve numerous problems. Go check the CD Freaks firmware section or this website for firmware updates and see what it does.
And euh.. please report back