Here are your matches:
1. Hezekiah = godly king from whom Daniel may have been descended
2. Ashpenaz = prince of Nebuchadnezzar's eunuchs
3. Abed-nego = Azariah's Babylonian name
4. Josiah = godly king who brought reform in Judah
5. Belteshazzar = Daniel's Babylonian name
6. Melzar = subordinate set over Daniel
7. Shadrach = Babylonian name of Hananiah
8. Marduk = one of the most important Babylonian gods
9. Meshach = Babylonian name of mishael
10. Nebuchadnezzar = king who took people of Judah captive
Note: A number of your answers can be found in the opening section of the Book of Daniel (Daniel chapter 1).
For the name "Melzar," Daniel 1:11 in the King James version says this:
However, more recent language scholars have indicated that "Melzar" may be more of a title that means "guard" or "guardian," rather than a personal name. So, for instance, the New International Version translates Daniel 1:11 this way: