No. Even if you have no space on disk you can still respond to audits because everything needed for that is in memory and not on disk. You will fail to write down the order and you will not get paid for download traffic but that should be the only impact.
If you don’t get suspended you also don’t get disqualified.
The storage node is checking free space on every upload. As soon as only 500MB are left it will unsubscribe from the node selection by sending a message to the satellite. The satellite is caching the nodes table for 3 minutes. So within 3 minutes after hitting 500MB free space the upload should stop.
This doesn’t stop you from filling the 500MB with personal data. So you can still get to the point that the node is 100% full.