Just a check before I disappear down a hyperspace rabbit hole, but my reading of this is that if you are player 1, you cannot activate the hyperspace ship as your first activation, however if you are second player and your opponent has activated a ship that round already, the hyperspace ship can be your first activation.
this is because the limitation is 'the' first ship activated that round, not 'your' first ship.
now if a pass rule comes in it gets more complicated by the same reading...