Might be. My impression was that it was a beetle because it doesn't seem to have the two protruding bits at the back (sorry for the lack of scientific terminology here but I don't know what they are called) that are typical of cockroaches).
That's okay. I don't know all the scientific terms either. I was thinking perhaps this cockroach Panesthia australis (Common wood cockroach) which doesn't seem to have the protrudences.
Could well be. I'll leave it to someone more expert than I. Always easier when you see the actual insect rather than ID from a photo. Congrats on all the jewel beetles you've found.
I do have quite a few photos of jewel beetles ... still quite a few to come. At some times of the year (around January usually) the place can be crawling with them.