First off, the black tab is the smoke triac, and it most certainly should be secured to the chassis with the proper insulating pad and screw. I just drill and tap a 3mm thread to mount it if there isn't one. That is vital for the health of the triac, without proper heatsinking, it will quickly die.
The 6-ohm resistor is indeed in the smoke unit, and should be replaced with an 8 ohm one or you'll be replacing the regulator again in the near future.