Hello @michal2551753855bx,
Sorry to hear about the crashing. I would request you try resetting Illustrator's preferences by following the steps shared in this article (https://helpx.adobe.com/illustrator/kb/troubleshoot-preference-issues.html) and sharing your observations.
Disclaimer: Please note that resetting preferences will remove all custom settings, and Illustrator will launch with the defaults. You may take a backup of these settings from the location mentioned in the article.
Also, kindly try the suggestions shared in this community post for help with the blurry logo and check if it helps: https://community.adobe.com/t5/illustrator-discussions/blurred-logo-on-the-website/td-p/10298556.
Looking forward to hearing from you.
Thanks,
Anubhav