I have been receiving many warnings from Google in my Google Search Console account. Despite not implementing any of them and instead focusing on Optimisation work, the keywords' ranking has been consistently improving over the two months. Does anyone know if these warnings could harm the ranking in the future if I choose not to solve them?
Depend on competition in your niche markets ... If your competitors solve those issues and having unique and informative contents then yes, they can rank better than you.
Console warnings and typographical errors do not typically affect SEO. To fix console errors, use a web browser extension to identify the errors, read the error messages carefully, search for solutions online, make the necessary changes to your website code, and re-test your website.