There is one more job I suggest you do before reassembly: checking the tappet clearances. That should be dead easy while the fuel tank is off, and it completes the engine reassembly phase properly.
The trickiest bits of reinstalling the carburetor, to me anyway, are the wire links and the governor spring. The governor spring has to hook onto the little tab on the end of the air vane which is under the cooling air cowl. Only the tip of that little tab can be seen under the edge of the cowl (circled in red in the picture below):
You unhooked it and the spring still looks good, so you'll put it back on without too much trouble.
For the levers, reversing the disassembly sequence given in the instructions is a good plan, but hooking them on is a sort of black art. You can put one end of each link on easily (probably the carburetor end), then to hook the other ends onto the operating levers you have to juggle things a bit. At least you have the advantage of doing it with the control panel and levers not mounted on the carburetor at the time. You can put the attaching screws between the panel and carburetor on after the links are installed. You can't do that when you are taking the carburetor off, say, a Honda, so in the latter case it takes practice.
The throttle cable and lever are assembled and mounted on the handlebar first. Then you connect the wire inner at the bottom end to the control panel speed control lever, followed by putting the bottom end of the cable outer under its anchor clip - see green circle below:
Finally you slide the bottom end of the cable outer back and forth under its clip until the movement range of the speed control lever on the handlebar matches the movement range of the speed control lever on the control panel at the bottom, and stops the engine via the kill-switch when you get all the way to the slow speed end - then you clamp the bottom end of the cable outer in that position. It is quite a bit easier to do this on your engine than on one with a coupled choke(Choke-A-Matic), because in that instance it has to be rather precise at both ends rather than just one end of the movement.
If you just do these things one step at a time, and post when you get even slightly stuck, it shouldn't be a hassle.