Have you tried reading with both of your ODDs?
If not please try the other ODD. Maybe even a friend’s?
Often when one ODD fails another will be successful.
I doubt this will help, but you can also
untick[B] Enable read-ahead cache[/B] in Common Settings > Read.
This essentially serves as the drive buffer and when enabled, it maximizes the rate of data transfer. Since you’re experiencing read errors, disabling the read-ahead cache may limit the rate at which the read errors occur and perhaps even the number of read errors.
It’s easy enough to do, so it’s probably worth a shot.
You can also try to click[I] ignore [/I]when the read error pops up, but you’ve probably already tried this.
If you’re comfortable flashing firmware, you can look to this, but frankly, it doesn’t sound at all like a firmware issue and since no other discs present problems, I wouldn’t recommend it. You may be worse off afterwards.
HP burners have horrible firmware support.
Depending in the oem, you may want to x-flash, particularly if it’s a LiteOn. This may be a reasonble step.