10 drops likely wasn't near enough to prep the cartomizer. Simply waiting will not pull more
juice into the cartomizer, generally speaking.
When prepping the cartomizer with juice, there needs to be enough juice added so that the polyfill looks like a slushy drink. To avoid getting any juice into the center air hole accidentally, half of a broken wooden tooth pic placed in the air hole will prevent any juice getting in it and result in flooding.
If you try to vape on a carto that doesn't have enough juice in it, you can easily burn the polyfill that results in a burnt taste (plastic?). Once this happens, the carto is ruined, you'll never get that taste out. Discard that carto and fill a new one correctly.
Juice won't just move by itself from the tank into the carto without some vacumm created by sucking on your device. The vacumm in the tank will be replaced by air, confirmed by a small air bubble coming out of one of the holes into the juice in the tank. Watch for this while
vaping in front of a mirror, as it can happen so fast that you might miss it otherwise.
Using a carto tank for the first time is usually a trial and error experience. Most of us experienced the same thing. You'll get the hang of it.