I am level 3 by the time I get to the thieves outside the chapel. All I did was run around the crashed ship, with a few fights and collect the party members and send them to camp so I can continue solo till I need them.
But seems like the level came to fast, is that how it should be?
It's probably deliberate. Level 3 is way more fun than level 1 in 5e. I think it's the right choice to expedite the player to level 3.