WELL.. its easy.. all you have to do is look at the disk requester screen (the one with the animated disk being inserted in the drive) on the bottom left had side. It will tell you if you have the 37.300 rom.
I strongly suggest however you aquire a WB 3.1 rom.
As for the drive not going, yeah, if you've done the HD setup bit... and installed Workbench via disk... and it doesn't boot, Find a disk that will crash your amiga.. you want anything that forces a Guru screen.
Chances are... you are using the almost Obligitory Kickstart 37.175.. which has a too slow a wait state for the HD hence, why you crash it... it waits longer then odly enough.