BKK-HKG-JFK-LHR-MXP-FCO-HKG-BKK

Is the above itinerary okay? I'm mainly concerned about the Italian flights.

Also: I am traveling with two people with no status, and the RTW is in Business Class (but the CX segments are going to be upgraded to First with miles). Do you think we can all go into the First Class lounge?

Thanks.