بسم الله الرحمن الرحيم
(Fatwa: 738/619/L=6/1439)
In case of offering qasr or full salah, the last time is taken into consideration, not the starting time. Hence if you reached home at a time when the time of Isha was remaining then you will have to offer full salah.
Allah knows Best!
Darul Ifta,
Darul Uloom Deoband
