A 589 ticket number means that your ticket is issued by Jet Airways. Any changes need to be done through 9W.

Your DL baggage allowance for checked baggage is the same on all flights. Carry-on baggage allowance is as per operating carrier.

You must collect your baggage at Mumbai and change terminals for the DL-9W connection. For the AI-DL connection, your baggage should be checked through all the way to BOS. Customs will occur at BOM on the arrival, and HYD on the departure.