In Legion you have to first do Uniting the Isles. Khadgar gives it in Dalaran at the Violet Citadel.
Then go to Krasus’ Landing and Khadgar will be there again with the Broken Shore intro quest/scenario. Do that next or skip it if you can to get the base camp there.
Then when that’s done go back a third time to Khadgar and get the Hand of Fate quest. That’s the Argus intro.
The “falling star” quest is only required for the priest and paladin class halls. It happens off the shore of Suramar, but is not related to opening Suramar.
step 1: check if you have broken isles world quests, if not talk to khadgar in the violet citadel to accept “uniting the isles”
step 2: check if you have broken shore world quests, if not, find khadgar at krasus’ landing and do the scenario/skip until it tells you to return to dalaran
step 3: pick up “the hand of fate” quest from khadgar in the violet citadel and do the quest.