Learn English – Difference between “I’m home” vs “I’m at home”

"Cable" is thicker than "wire", however that doesn't really explain when to use each of these. Also, in American English, for household appliances or office equipment we use "cord" for some things and "cable for others", and occasionally "line" or "wire": power cord, ethernet cable, printer cable, telephone wire (or in a different context, "telephone line").

"Lead" is not common American English. I'm not sure if it's used more in Britain, or it may be used commonly in certain professions. More often in the U.S. you'll hear "wire", as in, "No wonder it doesn't work; the wire's detached."

As a related note: A recent movie "Man on a Wire" documents the amazing feat of French daredevil Philippe Petit who is (and will always be) the only man to walk between the Twin Towers of the World Trade Center in New York City. If you watch the film, obviously he uses a cable to walk on, because it's very thick and sturdy -- but he's called a "wire-walker" because that makes it sound like he's walking on something very thin and easily broken.

If you are asking someone for an opinion, the second is unambiguous - it conveys that you are indecisive and asks for input.

The first could be taken as a rhetorical, in the same way that "what to do" can be used to convey your indecision without necessarily seeking suggestions.