1. Repent or perish (1-5)
Sometimes we think tragedies befall sinners, but not righteous people. The death of martyrs disproves this. Two tragedies are noted: the Roman governor Pilate killed Galileans, mixing their blood with their sacrifices; and, a tower accident killed 18 people. People thought they died since they were worse sinners. Jesus said, "I tell you, no! But unless you repent, you too will all perish." Rather than being shaken by horrible events, or feeling complacent that things are going well, repenting of our own sins and turning to God is a better response in tragedy.
2. It's important to bear fruit (6-9)
A fig tree has one purpose: to bear figs. If it doesn't, it fails its purpose of existence. Our lives should bear good fruit to God. Good fruit is repentance (3:8). God was patient with his people for the 3 years of Jesus' ministry. They had one more year to repent. If our lives don't bear good fruit to God, we have failed in our life purpose.