Quote 1
Friends, Romans, countrymen, lend me your ears. (3.2.82)
Even though Antony promises he won't bad-mouth Caesar's assassins, his funeral eulogy for Caesar is a carefully crafted speech designed to 1) turn the people against the conspirators, and 2) launch Antony into a position of power. The success of Antony's speech suggests that effective leadership goes hand in hand with rhetoric (the art of speaking persuasively).
Quote 2
ANTONY
Over thy wounds now do I prophesy
(Which like dumb mouths do ope their ruby lips
To beg the voice and utterance of my tongue)
A curse shall light upon the limbs of men;
Domestic fury and fierce civil strife
Shall cumber all the parts of Italy;
Blood and destruction shall be so in use
And dreadful objects so familiar
That mothers shall but smile when they behold
Their infants quartered with the hands of war,
All pity choked with custom of fell deeds;
And Caesar's spirit ranging for revenge,
With Ate by his side come hot from hell,
Shall in these confines with a monarch's voice
Cry "Havoc!" and let slip the dogs of war,
That this foul deed shall smell above the earth
With carrion men, groaning for burial. (3.1.285-301)
When Antony stands over Caesar's mutilated body, he prophesies that civil war and chaos will ensue in Rome. So does Antony have magical powers or something? Not really – he's just motivated by Caesar's death and has a huge stake in making his prediction come true. When he delivers a carefully crafted speech at Caesar's funeral, he inspires the crowd to revolt against the conspirators.
Quote 3
ANTONY
This was the noblest Roman of them all.
All the conspirators save only he
Did that they did in envy of great Caesar.
He only in a general honest thought
And common good to all made one of them. (5.5.74-78)
These days, we tend not wage war against our friends and then stand over their dead bodies waxing poetic about how "noble" they were. But in <em>Julius Caesar</em>, this kind of behavior is par for the course.