Check the carb against the diagram at Walbro or one of the parts houses. Here is an example;
http://www.ereplacementparts.com/walbro-wt5941-carburetor-parts-c-139716_139818_141442.html
example of walbro wt-594.
The number of your carb is on the side.
Double check the orientation of the gaskets to the diaphragms in the carb. Sometimes this gets out of order. On the metering side (4 screw side) the gasket goes down first against the aluminum casting and is followed by the metering diaphragm, and then the cover.
On the pump side (single screw) , the diaphragm goes down first, followed by the gasket and then the cover.
If you bought a new kit, lay out the gaskets and diaphragms on a clean table. Match what is in your carb to that which is in the kit. There will be extras for other carbs so expect to through some out. Do not worry about the welch plugs at this point.
While you have the carb off, check the intake grommet for cracks. Use a light and probe with your little finger. Check to see that the intake is tight to the cylinder flange. Check the fuel lines and return lines for cracks, especially in the corners where they are hidden or run under something.
On the WT Metering lever should be flush with the casting that surrounds it. Not high, not low, just equal in height to the casting.
Here is the Walbro WT service manual. It has the diagram IPL with it.
http://www.walbro.com/wp-content/uploads/2016/01/WTseries.pdf
Once your sure the carb is right, set each jet to 2 turns out from lightly closed and try to start the engine. Go over the exterior bolts to make sure the engine pan is tight to the case.
You can pull the plug and pour a thimble full of fuel down through it to test the integrity of the ignition and the seals.