Typo:
...inside them is read.

Should be: ...inside them is red.

"If you can see the veins under your skin, they might look blue, even though the blood inside them is red." - на мой взгляд, ведущий отчетливо говорит "inside OF them", т.е. пропущено "of"

"That’s because of the way that different wavelengths of light interact with your skin and blood vessels." - на мой взгляд, ведущий отчетливо говорит "and YOUR blood vessels", т.е. пропущено "your"

"So based on the thickness of your skin and genetics, you might be stuck with any circles you’re born with." - на мой взгляд, ведущий отчетливо говорит "with any DARK circles", т.е. пропущено "dark"