Here is my solution to the first part.

1. \\( \\{ \\}, \\{ 1 \\}, \\{ 2 \\}, \\{ 3 \\}, \\{ 1, 2 \\}, \\{ 1, 3 \\}, \\{ 2, 3 \\}, \\{ 1, 2, 3 \\} \\).