The New York Post is owned by News Corporation. And like all their other publications their modus operandi is propaganda and FUD. That is how they became hugely successful so there is no reason for them to change.
As for whether the press is allowed to do it well that's more tied to the US constitution and it's belief in free speech. Most countries have a more sensible version of this.
First, you shouldn't be getting downvoted. This is a legitimate question in my opinion.
In America, there's generally an attitude of caveat emptor for non-essential things, news publications included.* I live in New York City, and I think most people understand NYDN falls more on the entertainment side of the spectrum, and read it for entertainment rather than to be informed.
*Meaning we generally are happy to have things like food and drinking water and transportation regulated, but not so much things like movies or video games or books.