I do not think that is Thyme. I use for making tea just a flower. I can take some other photo of it.
Yea, that snail... desn´t matter, few of them are living in many of my pots, terrariums... they have huge field there where they can eat what they want... I do not fight with them cause I have found any damaged (rare) plants. I have also wild ferns, little scorpions, various kind of unknown, unseen beatles and this everything and more lives with my plants...