Slick Full Page Search is built with Hero Search and Slick Hero Big modules.
<div class="hero-search-full-page">
<!-- Hero Search Horizontal -->
<div class=" h-search-h shadow-sq animate-sq">...</div>
<!-- Slick Hero Big -->
div class="sq-slick hero-big slide-up-sq left-sq" data-mobile-arrows="false" data-tablet-arrows="false" data-mobile-dots="true" data-tablet-dots="true" data-fade="true" data-speed="500" data-ease="linear">
<!--Slide 01-->
<div> ... </div>
<!--Slide 02-->
<div> ... </div>
...
</div>
</div>
<div class="hero-search-full-page">
<!-- Hero Search Horizontal -->
<div class=" h-search-v narrow-sq animate-sq shadow-sq">...</div>
<!-- Slick Hero Big -->
div class="sq-slick hero-big slide-up-sq left-sq" data-mobile-arrows="false" data-tablet-arrows="false" data-mobile-dots="true" data-tablet-dots="true" data-fade="true" data-speed="500" data-ease="linear">
<!--Slide 01-->
<div> ... </div>
<!--Slide 02-->
<div> ... </div>
...
</div>
</div>
For the cases where you need a carousel that is not that tall you can add the class.low-sq.
Low Style - Fullpage Sample
<div class="hero-search-full-page low-sq">
<!-- Hero Search Horizontal -->
<div class="h-search-v narrow-sq animate-sq shadow-sq">...</div>
<!-- Slick Hero Big -->
<div class="sq-slick hero-big slide-up-sq left-sq" data-mobile-arrows="false" data-tablet-arrows="false" data-mobile-dots="true" data-tablet-dots="true" data-fade="true" data-speed="500" data-ease="linear">
...
</div>
</div>
As you can see in the Slick Hero Big documentation you can use a video wrapper inside a slick carousel.
Hero Big Video with Hero Search Horizontal - Fullpage Sample