Yes, both direct and social traffic helps improve rankings as it sends good user engagement signals. Ideally, you want more organic SERP clicks though.
https:// and https://www are treated the same, where did you hear www was better for SEO? lol
Personally, I would use https:// but Google won't care. If you're using https://www. then you need to test it in page speed insights with the https://www version for the real results.
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