I think I can answer a few of your questions:
(1) I dont have an LEDWIZ so I dont know much about them.
(2) As far as LEDs go, it does not matter which wire you attach to the resistor, but the ledwiz might require a special orientation. On the LED, the short wire goes to negative, or ground. The long wire is positive.
(3) IMHO, I think soldering is best, but its a good idea to put an alligator clip on the led lead between the led and the solder joint to absorb excess heat from getting to the led. (remove clip when you are done.)
(4) You can bend the wires, but not too many times. Its like any solid wire, bend it enough times and it will break.
(5) It does not matter. A resistor works the same in either direction.
(6) You can, but I dont recommend it. Masking tape dries out over time and will crumble. Of course it is slightly possible it can catch on fire (not likely, but who knows 2-10 years down the road?). Use a good rubber electrical tape, such as Scotch brand. (Not the clear present wrapping scotch tape.)
I would suggest you secure the led wires with a spot of hot glue or or some other type adhesive.
Hope this helps..