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don't bother unless young actually flying out of terminal 1, I was flying to Paris out of term 4 but they wouldn't let me through security in terminal 1 even though I had a ticket and passport, very bummed! Made up for it though in paris!
I don't know which terminal the H store is, but one of my friend just visited there at the end of the year. She said they have lots of old design scarves. For international flight, you don't need pay tax and for domestic flight, you need pay tax when purchasing. Hope this help. ~ sorry, don't know the price.