Free inside

I reckon it means that you can get the 'alexa luxury gift guide' for free with this issue of the new york post, and that it can be found inside of the paper.

Thank you.

Does "Starring 'The Walking Dead's NORMAN REEDUS" also refers to Norman Reedus' starring in the gift guide?

That's probably referring to an article in the newspaper, at least that seems more likely to me.

It's possible, since it shares the same visual identity as the FREE INSIDE block - it is the same colours, and it is inside the rectangle of the gift guide announcement. In fact, a visit to the New York Post website confirms this. Alexa is the title of the NYP's free "luxury lifestyle" (advertising) magazine, included with the paper 24 times each year.

Thank you.

Why is Alexa lowercased as alexa?

It's a 'logo'. I suspect it's because while you can't copyright a common word, you can copyright a specific typographical expression of it. Also, all-lower-case is often seen as 'arty' and 'cool'.