Hi Chris! Maggie, a Shopify Partner here :)
From a brief SEO check, I don’t see any major issues that need sorting out - perhaps the H tags within the content [make sure they are in order: H1-H2-H3-H4], internal links, bolded phrases etc. Make sure your content is optimized with word cloud [to see if your pages rank for the right phrases] and your images and links have got descriptive tags.
Please also have a look at this video tutorial: How to Completely SEO Your Shopify Pages.
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Is submitting the site to the directories a good option and can a shopify site be submitted ? My SEO company says that Shopify sites cannot throw an error when they try to submit the site for directory registeration. This is all the details i have, but wondering if you have experienced it ?