Do I have a 3 way lamp

JC : J From the word “Jod” – It means “Iodine” in German and indicates that it is a Halogen lamp. C From the word “Cine” Indicates that the primary application for lamp is Cinema but can include Optics & Projection & Other Markets

This halogen bulb is a low voltage bulb, commonly found under counters, in desk lamps, or as accent lighting. This type of bulb can be be purchased in various low voltage amounts, ranging from 6 to 28 volts. This bulbs come in capsule shape and have two pins at the base of them. There are two different sizes, a G4, which is 4 millimeters between the pins on the base, and a GY6.35, measuring 6.35 millimeters between the pins on the base. Just like the J type bulbs, a JC halogen shouldn't come in contact with bare skin since it can damage the bulb.

If I follow your hoping to salvage the sockets out of this string and use them for a custom made string of lights. Since these sockets go for about $2 or so, you'll save something like $100.

I think it's a good idea as long as you make this a low voltage string of lights. I don't think 120V homebrew stuff is a great idea for a lot of reasons.

But say 12V - that's not nearly as dangerous, and power supplies are inexpensive and easy to find. With LED lights, the load is much smaller than with incandescent, and these types of projects are easier to pull off since voltage drop doesn't amount to much with a reasonably big wire. Low voltage LEDs should be less expensive and last longer because they don't need as complex a circuit in each bulb - a simple regulator instead of a full blown power supply circuit. The main conversion gets done in a wall wart that can be easily swapped if it breaks.

If you cut off those sockets with a bit of lead, you could connect them to a two-wire backbone cable and let them hang. I'd use a 14 gauge or 12 gauge twisted pair bell type wire rather than a cable with a jacket like an extension cable. That shouldn't be too hard to find.