Sometimes it can take a week or more for a search engine to update search results. This is because your website is new and doesn't have any inbound links. First, create an account on Google webmaster tools. When you register and point Google to your sitemap.xml URL you can request them to re-crawl your URLs.
Other links have been updated to https except the homepage, which is the most important one. i WILL JUST WAIT. thanksSometimes it take more than a week if your website still low indexed.