What is the largest spider in the World?

The Goliath Birdeater spider is the biggest in the world.

Goliath Birdeater facts:

This spider belongs in the tarantula family. The "birdeater" can weigh 6 ounces and its a foot long. These spider is poisonous but will unlikely kill a human being since there poison is only strong enough for its smaller prey. Their diet consist on small insects like roaches, but have been seen catching prey alot bigger then themselves.

Goliath Birdeater

What is the largest insect egg in the World?

This insect lays the worlds biggest eggs for an insect at least.
The Malaysian Stick Insect is 6 inches long and lay eggs measuring half an inch long.

Malaysian Stick