Do different teeth have different jobs in chewing?

They certainly do. Teeth and gum hygiene are critical factors in the chewing process. There are specific teeth for specific jobs.

The Incisors (8 front) are shaped like knives for cutting and slicing. The Canines (2 on either side if the Incisors) have points for piercing and tearing. The Premolars (next after the Canines) and Molars have broad, uneven surfaces for grinding. An adult will have 32 teeth of which the 4 Wisdom teeth are often removed to avoid congestion.