No, Lake of Tears is not a goth band, because they play Gothic/Doom Metal, while goth music consists of Gothic Rock and its derived genres, like Deathrock, Darkwave, Ethereal Wave, and Coldwave.

However, their music does show some goth influences and could be considered adjacent to the goth scene.

If you want to dive into the goth music scene, some of the bands that might appeal to you if you enjoy Lake of Tears are Autumn's Grey Solace, Fields Of The Nephilim, and Love Spirals Downwards.