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Looks good to me. Does the new light attach to the bracket by two grub screws? It’s probably not the most effective way of earthing the body, but better than nowt.
But one minor thing is that you shouldn’t have any bare copper showing. Try and straighten the strands, lightly twist them, trim the end so only the amount of copper that is needed to fit into the connector block is left bare, make sure you back out the screw on the connector block far enough that there’s no screw visible when you look down the barrel of the block, insert the cable and tighten the screw while continuing the push the wire into the block. It’s a fiddle, but it’s quite important no bare copper is showing.
Thanks - like so?
This one already had the black sleeve so have done it light so - okay as well?