yes thats the first arc, 2nd arc target is still the demon lord because the world is reset, but only the mc + 1 demon summon he obtained from prev world keep their memories. In 2nd arc this he doesnt go with kenji and instead go solo (altho eventually he got captured by another otherworlder which eventually ends up being his party member for this world demon lord subjigation).
my source is from the WN raws, so if this manga is based on the LN there might be some differences