I don't know what saw the fuel tank/air box came from but every 82 cc saw that I have does have a hole in through the air box for the carburetor adjustments. I used the PM805 for this illustration since the black plug stands out so well against the yellow air box. You can also see the notch for the idle screw adjustment.
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For the choke linkage, the bottom "choke rod" seems to look more like it. The shorter leg with the hook in it connects to an eyelet on the end of the choke knob. You do need to have the rubber snubber there to hold the choke in place.
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I have a few spare tanks in the attic, let me look tonight to see if I have one with the hole for the carburetor adjustments and the notch for the idle adjust screw. Not sure you want to go backwards or wait for your current project. All of the SDC carburetors used on the 82 cc saws have the long adjuster screws with the boot you seen in the photo above sealing the hole in the air box. I have had a few where I needed to bend the tab on the throttle shaft to make the idle speed screw work properly.
I changed the carburetor on one of my SP125's to a fully adjustable SDC with the large bore, yes the original was in fact the smaller bore carburetor with a fixed H jet. Making adjustments is not easy, but I find I don't have to move them very much or very often. This one is just a GTG saw that I take along to Baraboo each year.
The original
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The replacement, fortunately the throttle rod just travels enough to be the idle speed adjustment as well. I did have to add the hole and the fitting for the impulse but that worked out even better than I could have hoped. I stole a fitting from another carburetor I had laying around and pressed it into a hole I drilled in the cover over the fuel pump diaphragms.
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Mark