What are you trying to accomplish with the converter relay? I'm confused about that part of things.
The converter circuit does not appear to me to be at the output of the inverter. If you're connected to shore power (or the generator), the converter runs because it has AC power available. If you're using the inverter, the converter is not converting because it receives no AC input; it's just as though you had no AC power of any sort available. Switching off a dead circuit doesn't accomplish anything.
Otherwise, your plan looks entirely reasonable to me. You have one string of three or so outlets that will be run from the inverter when it's on or from shore power/generator power when that's available, thanks to the transfer switch in the inverter. Everything else is either dead (independent of the inverter) or connected to shore power/generator power.