Do H1 Titles and URLs Impact SEO?

I'm revamping the layout of my WordPress site for a local juice company and I'm confused about the best practices for H1 titles and URLs related to SEO. My designer wants to use a lengthy title for the home page, but I'm wondering if that's really the right approach. The home page doesn't even mention 'home page' anywhere in the headers. Other pages have clean URLs that match their titles, like '/juice-boxes' and '/green-juices', and the H1 is pulled from the page title. Is it still important for the H1 to reflect the URL for better SEO? What are some current best practices I should consider to improve SEO effectively? I believe in the philosophy that good user service helps with SEO, so I want to ensure my URLs are user-friendly as well. How crucial is it to align URLs with content nowadays?