Oliver wakes up to see the hotel room's clock read 7. Not that he'd find that weird, but he'd gone to bed early at James' insistence that "They seem like nice people, I don't want to subject them to tired slightly hungover Oliver.", so he'd slept a good 8 hours. Pretty unusual for a man who'd once thought the doctor who told him he should be getting 9 to 10 hours of sleep a night was pulling his leg.
He raises his head, to see Emily sleeping on the other end of the sofa, on top of his legs. That'd explain why they felt so numb. He remebers the night before when they'd both insisted that the other should sleep on the bed, so Oliver had laid down on the sofa, at which point Emily decided to lay on it with her head at the opposite end, unwilling to admit defeat, and they'd both fallen asleep.
He carefully gets up without disturbing Emily enough to wake her up (her insommnia's just as bad, he's not going to deprive her of a rare full night of sleep), picks up the few bits of equipment he hadn't left on the ship, then heads to the room next door. James and Sara are still asleep, but that's no problem. He picks out the half-metre sided box easily, Sara's left it apart from the rest of the baggage. He checks the contents with a smile, before heading downstairs to have breakfast in the hotel and head to the ship, arriving in time to encounter the exchange between Saga and Alergo.