Recent Redesign - Drop in Visitors and SEO

I recently built a new website on a different host. When the site was ready I changed DNS servers to the new host and my new website was live. It was a fairly small website about 5 pages so I didn't download the old site at all. Since going live, there has been a 50 percent drop in traffic. Is there a plugin that I should use to redirect traffic that may be going to old links? I also changed the http to https. Does that make a difference. Any help is appreciated!

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