Did the Assyrian Empire destroyed the Temple and take the Hebrew people into captivity?

THE Temple in Jerusalem? No. 

The Assyrians conquered Samaria, the capital of the northern Kingdom of Israel in 722/1BC, exiled the Hebrew population, and refounded the city as an imperial province. Presumably the Samarians' temple on Mount Gerizim was either destroyed or converted into a temple of Ashur. The southern Kingdom of Judah, which Jerusalem was the capital and where THE Temple was, was not destroyed. In fact some of the few Samarians who were not dispersed in exile throughout the Assyrian Empire were received as refugees by Hezekiah in Jerusalem. Not long after, c.712BC, the Assyrians subjected the southern half of Canaan including Hezekiah's Judah. But because the Jerusalemites submitted to vassalage their Temple was spared.  

It wasn't until several decades later in 587BC, after Babylonia had superseded Assyria and Judah attempted to rebel that Jerusalem was conquered outright, the Temple was destroyed, and the Judahites taken into the Babylonian Captivity/Exile. 

Yes. Yes they am. They am destructioned Templings and trumpled captivatings, Hope this helping.