Pilot announces that Flight AI 372 will land soon. Flight AI 372 flies between Bahrain & Kozhikode (Kerala) and nowhere near Hyderabad.
Seeta describes the first time they met was during the annihilation of Ravan in Kurukshetra. This is supposed to be a recall of the actual Hindu epic Ramayan. But Ravan is annihilated in Lanka. The war of Kurukshetra is from the Mahabharat not the Ramayan.
As per Ram's letter he knows that Sita is princess Noorjahan. If he addressed the letter to the Princess, it would have reached Sita without any delay.