OGIZ, I really doubt its the fuel injectors. I'm pretty sure its water in the spark plug well or a bad or shorted coil. I could be wrong though, I don't have your codes. How do I know? Well I have had this issue on other vehicles. I have had this happen to my old ford expedition multiple times. I fixed it myself. First time on the Ford, I just pulled the coils and wicked out the water with a paper towel, then blew the well out with air and replaced the coils. That worked for a while and then months later it returned. This time I repeated the dewatering and then when replacing the coils I sealed the rubber boot with some high temp sealant. No issues after that. I did replace a few of the coils while I was at it. If enough water vapor is trapped in the plug well, eventually even when the engine is warm the spark will be shorted and the cylinder will continue to misfire. I have experienced this first hand. It starts out just being an issue on cold starts and then eventually, when enough water accumulates the cylinder will not fire even when warm. When water is inside the spark plug well it turns to vapor when the engine is warm or hot and then when you shut the engine off it condenses to water and sits on the bottom of the well--essentially the coil connection to the spark plug is sitting in water. the coil is providing energy but instead of making the spark plug fire the energy is diluted and diverted to the entire area and not enough energy gets to the plug to make a spark and ignite the fuel.
This is a know issue with Kia's. Ask the service manager if he or she is aware. Bad coils are also a know issue. I'm surprised the dealer's aren't aware in your area. The
Sorento had this issue as well. The Telluride is new. Issues will be coming that will eventually be worked out by Kia.
As far as the fuel injectors leaking? I doubt it, but I'm not the expert. The fuel injectors and system are pressurized before you even attempt to start the car. Have you ever heard that little whine when you open the door? That is the fuel pump pressurizing the system. If anything, leaking fuel injectors may cause the start to take longer but your car is too new really and once started it would run normal. That said, I am not an expert. I am not in the business, but I have researched this, in the case of my Ford, to find the problem without dealer help. The service manager at my kia dealer was in agreement with the coil being the issue in my case. However, I do not know what your codes are. The OBDM diagnostic codes are standardized for the most part and are available on line. My kia app on my phone gave me the code; in my case P030100 ( misfire cyliinder 1) and I looked it up.
It could be other things,. There is a whole list of things on line that cause misfires. The coil and spark is a very easy thing to check before tearing out fuel injectors.
Good luck