If Bangladesh where your father lives is your birthplace then it shall be your native place and you shall become muqim as soon as you reach there and you shall offer complete salah. If you travel from that place to less than 77.25 kms then too you shall offer complete salah.
Note: If you have terminated the nationality of Bangladesh completely and stay along with your family in America as well as you do not have any property in Bangladesh then submit the question again.
Allah (Subhana Wa Ta’ala) knows Best
Darul Uloom Deoband