The third line of your error log indicates that either the drive is balking because of the medium or Ubuntu is balking because of the drive.
Is the drive +R or -R? Are the DVDs +R or -R? Are they R or RW? In most cases, +R devices will still write to -R and vice versa, but that is not always the case. Brasero may have problems regardless of the device.
I use Kubuntu and so I use K3b. I don't have any problems writing across formats.
Anyway, the question is, in short: Are you using the correct media for your device?
I don't think Java should have anything to do with it, but since you noticed the issue after installing it, have you tried uninstalling both Oracle Java and Open JDK?
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