I made sure none of the coil turns touch, they are very evenly spaced and far apart by at least 0.5mm between turns. For instance the coil pictured above has 9 turns spaced over 12mm total. I've been making coils for many years (not only for vaping but for my ham radio equipment - KC1BJW)
As for the outer wire, you don't see it in the pictures but the end was actually tucked under the insulator, and only popped out when I removed the post. I'm quite sure it wasn't touching anything it shouldn't have. When I built the coil, after I installed it in the casing I pushed that end with tweezers under the insulator so that it was pinched between it and the metal casing, not sticking out like that.
As for the outer wire, you don't see it in the pictures but the end was actually tucked under the insulator, and only popped out when I removed the post. I'm quite sure it wasn't touching anything it shouldn't have. When I built the coil, after I installed it in the casing I pushed that end with tweezers under the insulator so that it was pinched between it and the metal casing, not sticking out like that.