Yes, slug, snail, and mouse are classified as primary consumers in the food chain. Primary consumers are consumers that feed mainly on producers (plant). Most often than not, they are herbivores. Other examples include grasshoppers, hummingbirds, termites, and many insects.
Primary consumers that feed on many kinds of producers (plants) are termed “generalists,” and primary consumers that feed on a specific plant are called “specialist,” an example of this is the Koala. Primary consumers are, in turn, consumed by predators (secondary and tertiary consumers). To keep our ecosystem balanced, producers and consumers must be readily available.