If the fuel is coming through the metering diaphragm, it needs to be replaced. This is easily done - that is a Walbro WT carburetor, and a standard kit for it looks like this:
http://www.ebay.com.au/itm/Walbro-c...DefaultDomain_15&hash=item19e3ec1005This fits both WA and WT carburetors (the two most common types), and contains diaphragms and gaskets only. For a higher price you can get replacements for more parts. The bits that don't fit your carburetor will be for a WA. Just put them back in the ziploc bag and forget them.
Note the kit has both conventional and mylar fuel pump diaphragms. The mylar ones are used for American fuel, which commonly contains ether (MTBE, TAME, or whatever). Ether destroys conventional diaphragms.
The kit does not contain a replacement metering needle. Inspect your needle and see if the Viton seating part (black rubbery bit on the pointy end) is worn. If it is, you need a more complete kit.
The two gaskets in your photo are Ryobi parts, not Walbro parts. If they need to be replaced, you may have to get them from a junked whipper snipper.
