Determine power reflection coefficient at the input port, Electrical Engineering

Determine power reflection coefficient at the input port:

For the MESFET equivalent circuit shown below, find S11 and S22. Note that resistances associated with the voltage-controlled current source are so large, they can be neglected. 

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What is the power reflection coefficient at the input port?
 
What is S12? Why?

If the input had to be matched using a single lumped element, what would it be, and would it be series or shunt?

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