Coda

Which composer? Mozart's concerto no. 23 in A has its second theme in E major, and in the recapitulation it returns in A major. Schumann's concerto in A minor has its second theme in C major, returning in A major for the recapitulation.

Yes, the last part

The definition of recapitulation can be found in any dictionary. Essentially, it means to summarize something or explain something in a more concise way than has been previously done.

The exposition is played again with minor alterations