On 23rd July I'm doing the following, booked back in Feb for £1600 per person in J:
ARN-HEL-LHR-JFK-LAX-KOA then KOA-LAX-JFK-HEL-ARN for 1000TP (couldn't get it to force a connection through LHR on the return). Booked directly with AA over the phone.
Overnight stop in New York on the way out, but will be on two overnight flights (KOA-LAX & JFK-HEL) on the return