Aztec is most well-known for their sculptures and metalwork, though the latter hasn't survived to the modern era as well as the former. Many of Aztec's sculptures are gigantic in size, depicting the deities that Aztecs worshiped. The sculptures are usually very colorful and are usually encrusted with precious jewels.
Spain (and Portugal) wanted to find a sea route to Asia because Portugal did not share trade routes with Asia and Europe (no Meditteranean Ports), Spain wanted to Spread Christianity, and both countries wanted to find more trade.