KARRESLYSports Gym Bag for Women or Men Travel Duffel Bag with Wet Pocket and Shoes Compartment for Training Swim Yoga, Green, free size

Does this bag fit in a typical gym locker?

Is it possible to place a lock in this bag?

Can this be folded up and put in suitcase?

Does the shoe compartment get in the way inside the bag with my bag now I have that issue the bag looks big but the shoes still take up most the space