If you wish to have the FullSrceen Slider visible on the shop compact page (if this is what you refer when you mention Full screen) then yes this is possible, where you can add the Slider and underneath it use the product list. However, if you set your menu to be Left menu it will be shown on the whole page, meaning that the slider will be on the right side of the left menu.

Hi! You will be able to use the Home page and choose the left side Menu as it is on the shop-compact page, also on the homepage you can for sure add product list and combine the homepage content with the product list. So this is for sure possible.
Best,
Qode

Hi there,
Thanks for taking an interest! You will be for sure able to use Shop compact page and set it to be your home page. You should know that once you import the demo content you will get all the pages that you see presented on our demo website and it is then a matter of you setting your Front home page.
Let us know if you need anything else.
Best,
Qode

Hi there,
It is possible to put overlay text and buttons on a video using the regular row options and also by using slider revolution plugin.
In case you need further assistance please submit a ticket at our Help Center, add url of your site and one of our support agents will check this and gladly help you.
Let us know if you need anything else.
Best,
Qode

Hi there, the theme comes included with WPBakery plugin which is more than enough to achieve anything you do see on our website demo. LaComete theme does not support Elementor unfortunately, some of our other themes are compatible with Elementor and you can check them here. Also when it comes to LaComet you can find our theme documentation here, so you can get a better grip on the theme functionality and options you do have with it. Another thing that might help you is that we do have our help center where you can turn to our support team for any theme realted question you might have, as they will be happy to assist you.
Let us know if you need anything else.
Best,
Qode