When I first started commuting I was getting way to many flats. I always carried a spare tube, patch kit, tire levers, and pump. The first time it happened I was discovered how nice most other bikers were asking if I had everything I needed, etc. One person even stopped to help and advice, such as checking for any debris, etc. It was my first time doing this on my road bike (had only done a mountain bike prior) but I got it done with a bit of struggling. Sadly I continued to get flats at to high of a rate, the final straw for me was a flat on the Golden Gate bridge thanks to some broken glass I couldn't see in the low light and fog. Nobody stopped to see if I was ok on that one, but I got it changed and home safe. After that last flat I got a set of flat resistant tires (conti gatorskins) and haven't had a flat since. I am always careful to check air pressure daily to avoid pinch flats.

I never thought of calling for help, though if I needed it my wife's travel schedule means it may not be there. My backup plan if I didn't have a tube or anything more major broke would be to take a bus home.

It's always nice to have the option to call for help, but you should be self sufficient with items for basic repairs and if possible know a backup transit option.