Just a stupid thought Brandon,as it is your 1st 4 stroke engine,you did not put mixed petrol in the tank which you would have run your 2 stroke on ,the engine would have probably started using the fuel in the carb,and cut out as the mixture got through.
Another issue could be the air valve is not allowing air into the fuel tank,if you tighten the cap too tight it will cause it to cut out under load,I had a similar problem with my first boat,I felt I right lemon when someone told me,not to tighten the filler cap too tight.