I unlocked my phone yesterday using the free software unlock procedure for the MAC (before the free GUI was released).

The unlock went fine and once complete I put my phone back in jail with iNdependence.

Is it ok to jailbreak the phone again? Or will this cause the unlock to stop working? Also when you jailbreak why does not the software (iNdependence) require the firmware?

Cheers.

IIRC jailbreak has very little to do with the unlock. The unlock writes to the radio chip on the iPhone. Jailbreak enables read/write access to the iphone file system. So my educated guess says it should work.