Just my $.02 here,,,, I have several violet wands which are notorious for frying the secondary coil due to using too long and over heating. Modern ones have a "self-healing" ceramic coil which still overheats but will still work after it cools.
Heat management is the biggest problem with any Tesla coil. Double check all soldered joints with a continuity tester. The older units I've purchased that did not work mostly had bad solders or a broken wire.