It's gotten to the point where I can't even really answer a newbie question anymore, in part because I don't understand what they expect or think is proper. I guess it starts with an explanation of the light sources.
Ambient is the sum of all of that available light that is picked up over an extended period of time, and is not a sudden burst like your flash. Ambient light's effect is based on time elapsed, and slower shutter speeds gather more ambient light. The downside is that many darker environments need the subject and the camera to be held absolutely still, or else the sensor will pick up motion of the lit areas and blur them together.
Flash exposure takes place over a much faster period of time (virtually instant by human perception standards), and as long as you are within the flash sync speeds on your camera, the shutter speed has no direct effect on the flash output (except that the camera may sense less flash power is necessary to illuminate an environment with greater ambient light). Another thing about your flash is that the light it sends out follows a linear pathway, and farther subjects are not illuminated as much as nearer subjects because the concentration of the light reduces with increasing distance from the light source. Other light sources do the same thing, but with direct on-camera flash the effect follows roughly the same axis as your lens' vision pathway.
The torch light is orange because it's a very cool, low kelvin white balance, which produces a much more orange tint than bare flash.
Your camera has a usable ISO6400, so you can quadruple the amount of light you're gathering with ISO alone. If you have a f/1.4 or faster prime and you use it wide open, that will also quadruple your light gathering ability compared to your 24-70L. Combine the two and you'll gather 16x more light than the fastest setting you used before (ISO1600, f/2.8).
For your #3: Flash OFF, ISO 1600, 1/50s, f/3.2, @45 mm - You can use your 50mm prime at f/1.4 and set camera at ISO6400, and your shutter speed will be: 1/50 sec = f/3.2 ISO1600 || 1/60 sec = f/2.8 ISO1600 || 1/240 sec = f/2.8 ISO6400 || 1/480 sec = f/1.4 ISO6400.
You can get the same shot at 1/480 sec. with max aperture and ISO on your 1D III with 50 f/1.4.
Now...
If you expect to gather enough light to illuminate the environment you're shooting in with near pitch-black darkness and no flash, you're going to need the highest possible ISO setting, the widest open aperture, and/or a LONG exposure. If you have to do a long exposure, there won't be any human subjects sharp in it because all of the light hitting the moving subjects will be read on different pixels of the sensor as the subjects move. Furthermore, if you don't have a tripod, the scene will also be blurry from your camera's movement.
Or...
If you expect to illuminate every subject equally with flash on your camera, then every subject will have to be the same distance from your camera and flash. Do not expect the flash to strike subjects 20 feet away with the same concentration of light as the subjects 5 feet away.
Or...
Flash can be shot through colored gels to produce similarly low kelvin temperature (making orange light), but the light output diminishes as it passes through the gel. Also, as mentioned by someone else, if you set your camera to a hotter (bluer) white balance than your bare flash's native color temperature, it will make your flash appear more orange.
Or...
If you want to take a long exposure and give some illumination to the environment AND illuminate subjects with flash, then you can put your camera on a tripod, take a long exposure and have the flash hit the subjects you want, making sure that there is less ambient light hitting them than there is hitting the subject.
Or...
If you want to illuminate subjects in different areas and provide ambient light of the environment, put your camera on a tripod, take your flash off, do a timed shutter release and long exposure, and use the test button on your flash to discharge it at whatever setting you want against whatever subject you want. This can be like a "painting with light" exercise. Since each flash firing puts out the full discharge almost instantly (and adds to whatever ambient strikes the subject), and you can press the flash's test button multiple times during a long exposure, you can flash multiple subjects during your long exposure, from wherever you want. Remember that flash to subject distance influences exposure level.