IMUCET

Hello! Tushar, You will not be able to get IMU Kolkata with this rank, nor IMU Mumbai. Even IMU Visakhapatnam won't take you with this rank. IMU Kolkata sees a cut off rank 500-600 in general category. I have no idea if there is a girls' quota kind of thing here. However, you get 50% waiver in fee being a girl candidate.

No, you must clear the cut off marks exam to get admission in the respective courses.

Yes, IMUCET is required for MBA in Port and Shipping Management from IMU Chennai.

Just go through this link and fill out the required details:
https://www.shiksha.com/college-predictor

Hello Ashish, Yes, IMUCET will accept improvement result. As IMUCET held twice in a year ( one is during June and other one during December for August & February batches respectively). I. e conducted by Indian maritime university for undergraduate and postgraduate courses. Hope it helps
Thank you.

Hello Akash, it's very nice to hear from you that you are interested in knowing past years question papers. Well, there are plenty if sites on the net that can provide you with this information. Some sites charge money while others provide this service free of cost. Best wishes to you.