You do not need a paid SEO subscription to find the first problems on your website. An hour with Google Search Console, PageSpeed Insights and your own phone can reveal missing pages, unclear titles and difficult mobile journeys. This is an initial check, not a substitute for a detailed technical audit. Set a timer, record what you find and give each issue an owner.
If you do not have Search Console access yet, ask the website owner or developer to verify the property first. You cannot infer your full search performance from public search results alone.