Hi and welcome to the forum,
you can verify read problems of your drive very simple, just create a
MS-DOS Startdisk with CD-ROM support, e.g. easiest way is using
a Windows 98(SE) startdisk.
Otherwise create according to your Operating System a start or bootdisk
and insert DOS driver of burner.
Now boot with your created disk into DOS and try to read from CD and
(unprotected) DVD media, if they can be read without any problems, then
your drive is not faulty.
If your lappy contains no floppy disk drive anymore, use a bootable
CD-ROM and DvD with your device (e.g. Windows CD) and boot from it.
If this is possible, then your drive is not faulty.
But if you cant read from any CD or DVD media anymore, then you should claim the unit to your dealer as defect.