Although others have answered you too, I’ll add to it and this is coming from someone who has watched the editorial team make decisions for quite some time.
Competitors cannot “flag” your gig. Even if they were to write to Customer Support about your gig, it would do them no good at all. Fiverr doesn’t care what other sellers think of your gigs. They care about buyers, so your 4.6 star rating makes them more likely to remove your gigs for the slightest error.
What you did do what create a gig that is against Fiverr’s current policy on editorial focus. 98% of gigs offering reviews are removed from search and/or removed by Fiverr. If you tried to write a review on a site like Amazon, GoodReads, Yelp, or any other major review-display sites you would not have been allowed to continue even if buyers loved the gig.
You need to sell something that doesn’t involve other websites unless you want to run a high-risk game on Fiverr. Sell a service you can do without taking risks with other (3rd party) sites. Some of your other gigs are in danger of being banned too. Slick-deals.us, Stavturs, Feedia.us. Google news, Facebook, Twitter, Stumbleupon, are all third party sites that have very strict rules, so any gigs involving any of those sites or others similar to them could easily be removed by Fiverr at any time.
Some people do this high risk stuff and make it by slipping through various loopholes so you’ll find them succeeding temporarily on Fiverr, but most eventually lose their gigs. If you are going to keep trying those gig types, there is no point in complaining about denials because no one can help you with that. Good luck.