You will need a coil winding kit for this, but it's actually quite simple once you see a video or two on how to wind your own
coils from a spool of wire.
Can you take some pictures? If the wicks were burning in half, you would definitely be getting a burnt flavor instead of a muted flavor.
I'm wondering if you didn't thin the wick ends enough, and it's plugging up the
juice ports. It would make sense because you're
vaping what you primed the coil with (first 2-3 puffs), but once you attach the top part of the atomizer back on, it's not wicking correctly.