Fix the first screen in this order
Fix in reading order, not in enthusiasm order. First, the headline: product and outcome in the buyer's words. Second, the proof: one visible piece of evidence that matches the buyer's doubt. Third, the action: one button, clearly labelled, leading to a product or collection a new visitor can buy from. Fourth, the supporting elements: navigation labels a shopper would recognise, and a hero image that shows the product in use rather than only a logo or a mood shot.
If the first screen passes the stranger test but the homepage still leaks, the problem is deeper in the page, and a structured review of the whole homepage, collections, and product pages will find it. If you want that diagnosis done for your store, the next step is a Shopify CRO audit or a discovery call, with scope and price agreed before any work starts.