I'm starting a half-elf sorcerer character with a custom background. If I read correctly, as half-elf I get any two skills to choose from (PHB 39). As a sorcerer I get to select two skills from the list provided (PHB 100). When customizing a background, I "can replace one feature with any other one, choose any two skills, and choose a total of two tool proficiencies or languages from the sample backgrounds." (PHB 126)
If I'm reading and understanding correctly, that would give me six skills I would be proficient in; four could be whatever I choose and two would be restricted to the six listed for sorcerer. Is that correct?