Ed - I have those covers available as a 3D printed part. Not exactly OEM but a pretty good, functional substitute. I am not sure I have ever seen one of that type that was not broken when you tried to handle it. I will try to remember and put one in your package when I get things wrapped up.
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I have your PM310 about 80% complete. I went ahead and put new seals in it as it seemed to have a bit of a vacuum leak. Look through your stuff and see if you have this style AF bracket and choke...
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The one you sent with the parts is for the older model with the separate air box/cover and doesn't fit quite correctly in the space. I did modify it to fit but the choke operation is not perfect.
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The carburetor needed some attention.
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One nice thing about the Zama carburetor is the check valve comes out as an assembly making it easy to test the function. This one is good by the way.
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I'll add some further updates tomorrow.
Mark