The age of your domain impacts how well you rank in the SERPs is an SEO myth. John Mueller and Matt Cutts have said the below:
• Domain Age is not a ranking factor.
• New domains may be dampened for a few months to help fight spam.
• Old domains may positively correlate to better rankings due to other factors.
Source(s): John Mueller (April 12, 2017), Matt Cutts (Oct 26, 2016), John Mueller (Jan. 15, 2016).

Google has said that they index & rank content in Accordions and tabs fully. They have also said when on mobile, content hidden in accordions, tabs, etc for user experience purposes will be given full weight and not demoted like it was in the past.

After 512 pixels, Google will truncate your URL in search results pages. A good rule of thumb is to keep your URLs as short as you can, without losing their general meaning.

Google might not be seeing the "noindex" tag because it has not crawled it recently. Make sure you check the latest cache date and check if you can see the noindex tag in the cached version. It is very important to make sure you are not blocking the URLs in robots.txt as if you do Google will not see the noindex tag if it cannot get past the block in robots.txt.

If you are reviving an old website make sure it is mobile friendly. Then you will need to refresh the content and update page titles and meta descriptions. Also make sure you add new content regularly.

I always include the site name in the title. It will also help from a brand search perspective for people to click through to your page.