Hi Lukasz,
The Yet Another Related Posts Plugin is probably place the related posts underneath the event content but before the iCal/Google links. My suggestion would be to make a copy of /wp-content/plugins/the-events-calendar/views/single.php and place in an ‘events’ folder in your theme. Then, edit single.php and manually place in the Yet Another Related Posts Plugin code wherever you need it to appear.
If you want to go the CSS route, you can add whatever CSS you want to your theme’s style.css to arrange things how you want.
I hope that helps,
Jonah