I would check in Moz Analytics or Google Webmaster Tools to see if there are any new 404 errors to ensure that the 301 redirects were put into place properly. It could be possible that not everything was redirected properly.
I would also look at the indexation numbers in GWT as well as run a site: search in Google, to see if any new pages have been indexed. Wordpress tends to create a lot of duplicate content pages such as category archives, tag archives, date based archives, author pages, etc. so make sure those aren't being indexed. Use a All-In-One SEO or Yoast plugins to clear those up.
Finally, go into Google Analytics and look at the landing pages that were driving the most traffic before, and compare it to after the change. You may be able to isolate a few high traffic pages that are responsible for the traffic drop.
If none of those things turns up a problem, don't panic. 4 days is not a long time and an 80% drop is not unheard of. It can take some time for Google to digest all the changes, depending on the size and authority of your site. Make sure to submit your site to be indexed in GWT under Crawl -> Fetch as Google. You can also speed up Google's crawl by building more links to your site. Twitter, Pinterest, and Google+ are all easy ways to get pages crawled and indexed, as well as getting links from high authority sites.