1:1-4
The beginning of Ezra is almost identical to 2 Chron 36:22,23. The emphasis is that Cyrus’ decree was to fulfil the word of the Lord, the Lord is sovereign over the nations. The decree of Cyrus fulfilled the word given through Jeremiah. So the Jews were to be allowed to go back to Jerusalem to rebuild the temple, and they were to be provided with silver, gold, goods and livestock for the temple. Cyrus acknowledges who the Lord is.
1:5-7
Not everyone returned, but only those whose hearts God had moved. Their neighbours assisted them in providing them with various goods. In the time before the exile, and after the defeat, various temple artefacts had been sent to, or taken to, Babylon. Cyrus arranged for these items to be sent back to Jerusalem.
1:8-11
It was common practice for Assyrian and Babylononian conquerors carried off plunder that kept a careful inventory. The list in v9,10 adds up to 2499. V11 refers to 5400 articles, it may be that the list given just includes the larger items.