Do i Am I Correct?

Hello, Helen. I am going to flying into Moscow by on Aeroflot, airline Flight HY147, with transfer a stopover in New York. But it arrives too [Ambiguous.  Arriving in NYC or Moscow?  The reader may not get it until perhaps in the last sentence.] I will be home very late, on 4:00 a.m. at Terminal D. Would Can you order get a taxi for me? [If you are speaking, we usually say, "Would you terribly mind to get/call a cab for me?" ] You know a taxi at the Airport taxis is are very expensive.) See you in the at home!

Do i correct?

Hello, Helen. I am going to fly to Moscow by plain on flight HY147 which transfers in New York. It arrives too late, at 4:00 a.m. at Terminal D. Would you order a taxi for me? You know a taxi at the airport is very expensive. See you at home!

Good job!