What abilities and powers does FEMA have in an emergency?

What abilities and powers does FEMA have in an emergency?
What limitations have been placed on FEMA by Congress?
How does FEMA interact with state and local emergency management agencies? 
Can you find any examples of troubles faced by FEMA before, during or after any of these emergencies that were made worse by Congressional involvement? For example, funding issues, the ability to respond appropriately to the disaster, etc.

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