Wow... You really expect your circuit to work with that much power with no shielding? I'll answer that question: "No, it's not going to work." I've looked and looked, but I cannot seem to find your schematic. What does the other side of your board look like? I can't find that, either. What are all those printed inductors for? Are they harmonic fiters? If so, that isn't a good idea because the Q is so low. Better to used wound air core inductors.
You are asking for help, but still haven't provided the needed information. You might have pulling issues, but I believe the majority of your issues are radiated interference from your output.