Hey, I had a look at your website and there are a couple of things to note. First, it is pretty weird your test page is indexed, and on top. You should deindex it asap. There are some other fairly noticeable issues. There are more, but they have nothing to do with SEO plugins.
Second, you deal with spammy topic — visa, migration, etc. Google is cautions about those types of sites, since they are filled with scam. I suspect you are either not getting crawled or you are sandboxed.
Note that all SEO plugins do essentially the same thing, we add SEO metadata to your source code. It is unlikely that would cause any issue with Google or any other search engine.
Look at this page, and it’s source code. The data from SEO plugin are filled properly, and frankly, the output is the same from all SEO plugins. I don’t even know if it is made by TSF.
There is a very good chance this has nothing to do with SEO plugin, whichever you might want to use. Your website might need a proper audit. I would start with Google/Bing webmaster tools and if you are serious about your business, you might want to consider using tools like ahrefs, screaming frog and others to uncover potential issues.
However, we are not giving up on you. If you provide us with more info, we will try to investigate further. Google webmaster tools should give you an idea about the crawl problems, post us a screenshot if you will; and we can move from there.
Once again, apologies you run into issues.