People count on the media to find out information around the world. They watch event happened in different place, weather, sport ect. What if the source is not accurate what Eggers demonstrates that the media is misleading, thus, the reader sees that the media forced new Orleanais to be negatively stereotyped by those dealing with the crisis and much of America.

I would like to know if this grammatically correct.

That is not grammatically correct. It doesn't really make that much sense. This would be correct:

People count on the media to find out information from around the world. They watch everything going on in different places whether it be significant events, the weather, sports, or anything that interests them. [This is the point where I'm not too sure what you mean. Are you examining a source? The rest is extremely unclear and I can't understand what you are trying to say. Try rewording it and make sure you explain well. You can do it!]

Yes, the sentence you provided is grammatically correct. It expresses the idea that Eggers demonstrates how the media can be misleading, leading to negative stereotypes being imposed on the people of New Orleans by those dealing with the crisis and the wider population of America.