I read parts of the puresmoke faq's. They state "Can I use E-liquid to refill the ProSmoke?
Yes, our E-Cigarettes can be refilled with the liquid of your choice but we do not recommend it. A lot of research has gone into using the right ingredients to make the best solution for maximum flavor, maximum vapor and safety of our customers. As mentioned, we use no propylene glycol in our cartridges, which is typically the main ingredient in these e-liquids. Overfilling can also cause battery damage which will void the battery warranty.
Based on this info, those cartridges you received with your kit should be refillable. Your statements do sound like you could be running short on juice in your cartridge.
Please be sure you have a strong charge in your battery.
On their home page, they state they have a FB page. You might pop over there and check to see if someone else has posted anything about similar problems.