Statement I is false: Melanocytes are pigment-producing cells found predominantly in the skin, but they are also present in other parts of the body, such as the eyes, mucous membranes (e.g., lining of the nasal cavity, oral cavity, anus, vagina), and leptomeninges. Melanoma, therefore, can arise in these extra-cutaneous sites as well, although it is less common than cutaneous melanoma.
Statement II is true: Breslow thickness, which measures the vertical depth of the melanoma tumor from the granular layer of the epidermis to the deepest point of tumor invasion, is the most important prognostic factor for localized cutaneous melanoma (in the absence of lymph node metastases). Thicker melanomas have a higher risk of metastasis and poorer prognosis compared to thinner melanomas.