homepage single image opens gallery of 30 images

I am searching for a free gallery plugin where I can place 4 images on my homepage representing 4 different categories. Upon clicking an image, it opens to a gallery of all the items that are in that category, approx 30 images. Does Justified Gallery free version do that? It would be nice, also, if once in the gallery, each image was in a lightbox and a click would take you to its product Shop page. Thank you for providing your free version!