How to make Favicon and correct site name appear on google search

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I cannot get my Favicon to show up on Google Search and neither am I unable to make my “site name” on google search changed from my web URL to my website name. I have added a Favicon to Wix with the file type .ico which is in size 48x48. My page is in two languages, and I have added a tag on my homepage SEO in both languages with the HTML code:

<link rel="shortcut icon" href="https://static.wixstatic.com/ficons/23bcb4_4056d456c9054847aa989644f40c13bc~mv2.ico"/>

For the site name to appear on google I’ve added structured data to both language homepages like the following:

<script type="application/ld+json">
{
    "@context": "https://schema.org",
    "@type": "WebSite",
    "name": "Lingren Larsen Kapital",
    "alternateName": "Lingren Larsen Kapital",
    "url": "https://www.lingrenlarsenkapital.com"
}
</script>

I have been asking Google to index and recrawl my website homepage several times, but with no succes.