Hello, no problem with mine reading or writing DVDs, even DVD-RW, not sure if I've tried burning DVD Dual Layer yet on it, but it reads them fine.
At the Apple Icon at top left>About this Mac, then click on More Info, then click on Hardware>Disk Burning & report what it says, like ...
TSSTcorp CDDVDW SH-S222L:
Firmware Revision: SB02
Interconnect: ATAPI
Burn Support: Yes (Unsupported)
Profile Path: None
Cache: 2048 KB
Reads DVD: Yes
CD-Write: -R, -RW
DVD-Write: -R, -RAM, -RW, +R, +RW, +R DL
Burn Underrun Protection CD: Yes
Burn Underrun Protection DVD: Yes
Write Strategies: CD-TAO, CD-SAO, CD-Raw, DVD-DAO
Media:
Media Type: DVD-RW
Blank: Yes
Erasable: Yes
Overwritable: Yes
Appendable: Yes