First, unless there is documentation from a source you trust all of this comes under the category of urban legend.
Maybe its true, maybe it isn't.
Some of it is made up by unscrupulous marketers, who word it carefully using words like might, may, and studies indicate (without naming the studies).
Yes, bananas and carrots are high sugar.
Here is the Linus Pauling Institutes take on K and E - and E is the one associated with skin healing.
http://lpi.oregonstate.edu/infocenter/v ... /vitaminK/http://lpi.oregonstate.edu/infocenter/v ... /vitaminE/Always check with legitimate sources, marketers will say close to anything and people repeating what they've read with out an anti-marketing filter going say some of the stupidest things. Do not buy into any supplement stuff you can't read supplemental documentation on, marketers and basically anyone trying to sell you something will say just about anything, not caring if its true, not caring if it might kill you, they just want your money. Cynical, yes, but protect yourself man.