-- A shorter wire will allow electricity to move through at a higher rate than a longer wire . . . True, but "rate" is a poor way to say it. It should say "a higher current".
-- A short, thick, cold wire is the best conductor . . . True
-- How well a material conducts current is an internal factor affecting resistance . . . True
-- If you double the length of a wire, you cut the resistance in half . . . False. Double the length also means double the resistance.
-- If you double the thickness of a wire, you cut the resistance in half . . . True
-- Superconductors have no measurable resistance . . . True. They literally have NO resistance.
-- The higher the temperature of the conductor, the lower the resistance . . . False. Higher temperature means higher resistance, for almost all conductors.
-- The resistance in a wire with less thickness is less . . . False. We just said, up above in Question-#5, "If you double the thickness of a wire, you cut the resistance in half". Less thickness means more resistance. Just like a highway with fewer lanes.
-- Thickness, length, and temperature are internal factors that affect resistance . . . False. They affect resistance, but they're external factors.
-- When a light is first switched on the light bulb's filament has a lower resistance than after it gives off light for awhile . . . True. Look back 3 questions from here, where it says "Higher temperature means higher resistance".