Hello,

By default, the carousel works like this: https://gyazo.com/d62574d617387deeeb7ccaf9fc9a4dda

Please deactivate all the plugins not related to the theme and switch the parent theme, check the issue, If the problem has gone, activate the plugins one by one, checking the issue to detect which one causes the problem.
You can find the option in the Product Grid element > Carousel tab > option to set a number of products to slide.

Quick view is enabled in the Theme Settings > Shop and valid for all the products grids.

Please add this code to the Theme Settings > Custom CSS > Global:

body .owl-carousel .owl-nav>div {
    opacity: 1;
}

Arrows would be always visible.

Describe or show the sample of the animation you are trying to add.

Assign ID or classes to the rows and include them in your custom code in this way the code would be applied only to these rows.

Best Regards