Jeez, some of these sewing kits have more stuff in it than my entire survival kit.

My sewing kit generally consists of green Spiderwire, a few needles of various sizes, and some safety pins.

Usually, my method of repairing garments is simply do whatever you can to get it to function the way it's supposed to. Start with safety pins, if they don't work, sew it with whatever color thread you've got on hand. If I need extra fabric I'll tear up a hankie/bandanna/old t-shirt/whatever. It isn't pretty, but it works just the same I guess.