Ok, I found a solution.
Here it is if someone will need it:
Custom CSS:
#wp-custom-header-video {
display: block;
margin-left: auto;
margin-right: auto;
}
If I add custom css like:
.wp-custom-header {text-align: center}
video doesn’t show on home page
it works when I remove header image, but then on subpages there is no video and image in header.
