If equipped with Light of Galador, can Carnage heal an additional click from the sword as well as the click from his retaliation?

core rulebook:
20.7a Effects Tied to Standard Powers
If an effect both grants the use of a standard power and an additional effect tied to the use
of that standard power, that additional effect only applies when the standard power is
used through that effect. As an example, if a special power says “Super Senses,
Toughness. When this character uses Super Senses, increase the result +1.”, they will
only increase the result by +1 if they use Super Senses from that special power.
Conversely, if a power reads “Super Senses, Toughness. // When this character uses
Super Senses, increase the result +1.”, the +1 will apply to any use of Super Senses
because the // denotes it as being a separate effect in that power.

COLOSSAL RETALIATION: DRAINING LIFE FORCE: Blades/Claws/Fangs. // FREE: If not other friendly character has been placed this turn, choose an opposing character that attacked Carnage or damaged a friendly character since your last turn. Place Carnage such that he can make a close attack that must use Blades/Claws/Fangs targeting the chosen character then do so. If you do and hit, after resolutions heal Carnage equal to half the d6 result and he may heal past his starting line in this way.

INDESTRUCTIBLE
EQUIP: ANY
UNEQUIP: DROP
EFFECT: Blades/Claws/Fangs. When this character uses it, after resolutions heal 1 click on this character and all adjacent friendly characters.
Light Object
Sword Equipment

You do realize Colossal Carnage is not a standard character and can't start the game assigned equipment. However, you could use Mad Jim Jaspers to get around this, after the start of the game. You would not get to heal a click using Light of Galador, Carnage can only heal past his starting line using half the d6 roll for B/C/F when he colossal retaliates, that's the only way he can heal.

6.6b Healing Past a Starting Line
Some characters have effects that allow them to heal past their starting line. This healing is not limited to just crossing their starting line, but while they are past their starting line as well. While that character is on a click past its starting line, it can’t be healed by any game effect except the one specifically allowing it to do so.

Yeah I am not concerned with healing past the starting line. Lets say we use him at his full cost (his retaliation power is all throughout his dial.) Can he heal from both?

If you play him top dial I believe you could heal with both effects, but again, colossal figures can't start the game assigned equipment only standard characters.

No. Both effects are tried to their specific use of BCF, and you quoted why.

There's a // couldn't you use the B/C/F from Light of Galador when you colossal retalate? OP is wanting to play Carnage at full points, the scenario I am imaging is if he got hit to click 7, 8, 13, 14 or ended up on his last click.

You know what? You're right. I didn't notice the BCF in front of the // on Draining Life Force and thought it was part of the FREE. As long as he uses BCF from any source with the FREE granted by Draining Life Force, he can heal with it.