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A car can run with out an intercooler, but if it was designed to have an intercooler, the driveabilty will be affected.
Yes, search clubgp.com for intercooler options, the ZZPerformance intercooler is the best on the market at this time.
The normal direction of airflow is air filter to turbo, to intercooler, to engine.The normal direction of airflow is air filter to turbo, to intercooler, to engine.
You can put intercooler on any car regardless of kind of transmission.
Whatever the intercooler is for (transmission, turbo, etc), will most likely overheat and do some damage.