Displaying query plans in Server Management Studio
A1: The plan_handle is a hash for a group of statements, or batch.

A2: No, the dm_exec_query_plan returns the query plan in XML format, so you need to click on that in order to see the graph.

A3. Try this:

SELECT query_plan 
FROM sys.dm_exec_text_query_plan (0x06000100A27E7C1FA821B10600,0,-1);