Duct tape can save your bag or your trip. This is no original idea, but still - don’t leave home without it. I do have a better variety of tape for you though. Scotch Heavy Duty All-Weather Duct Tape is amazing stuff. You can find it at hardware stores or home centers. It really is waterproof and will stick outdoors to nearly anything through any weather - for months. It can probably handle your ripped suitcase or broken pull-handle. I re-wrap about six feet of it around an empty plastic bottle, then cut the ends out of the bottle to make a flexible, flattenable core.
One cool thing - it’s a darker gray than regular duct tape, doesn’t look quite so much like, well, duct tape.