When Jesus establishes the 1000 year kingdom on earth, will the people here also live 1000 years or will there be death and shorter life expectancy? Will He bring beings back with Him to live in that period?

Yes - death will occur, but there will be longer life expectancy, according to Isaiah 65:20: No more shall there be in it an infant who lives but a few days, or an old man who does not fill out his days, for the young man shall die a hundred years old, and the sinner a hundred years old shall be accursed.

The context of the passage is the millennial kingdom, and a straightforward reading indicates that yes, there will be death. Death itself is finally eliminated at the END of the 1000 year kingdom of Christ, according to Revelation 20: And when the thousand years are ended… Then Death and Hades were thrown into the lake of fire. This is the second death, the lake of fire. (verse 7 and 14)