When speaking to Thenardier in his apartment the first time, Valjean has his coat on when placing the 5 francs on the table, then in the next shot he is no longer wearing the coat, without ever having removed it.
Thenardier puts it metal poker in the fire and heats it until it glows. He then pulls it out of the fire to threaten Valjean with and it remains glowing for several minutes. Heated metal will stop glowing after only a few seconds when removed from the heat source. It would still be hot and dangerous to touch, but it would not be glowing.