Authorization Approved

Your travel authorization has been approved and you are authorized to travel to the United States under the Visa Waiver Program. 

That's what ESTA says    
And if ESTA says yes then I'm happy ...

Flight booked

22 September 2011
Depart: Gothenburg (GOT), 11:30 CEST
Arrive: London (LHR), 12:35 BST, terminal
Depart: London (LHR), 16:00 BST, terminal 5
Arrive: Newark (EWR), 19:05 EDT, terminal B

4 Oktober 2011
Depart: Newark (EWR), 18:25 EDT, terminal B
Arrive: London (LHR), 06:20 BST(+1 day), terminal 5
Depart: London (LHR), 07:40 BST, terminal 5
Arrive: Gothenburg (GOT), 10:40 CEST