Here's an idea. Check the tank for rust. Take the petcock off the tank and make sure it's not stopped up, not getting gas to the carb MIGHT be a bit of an issue. Or take a flathead and unscrew the overflow screw and see if gas is going through the carb, it has to be kinda steady, a few drops means the petcock or tank.
Also, make sure the idle is turned up, too low of an idle will also cause starting problems.
This is my trike. There are many like it but this one is mine. My trike is my best friend, and it is my life. I must master it as I must master myself. My trike without me is useless. Without my trike, I am useless. I must ride my trike true. My trike and I know that what counts is not the amount of miles we ride, but the time we ride together. My trike is human in it's own ways, therefore I will learn it as my brother. I will learn it's weaknesses, it's strengths, it's parts, and it's soul.