Go player having trouble with a game

A man sitting beside a go board, concentrating on a problem. He looks as if he wants help. Why not look at his problem, and tell him where to play ?

Location
East of the entrance to the Sewers in Cormallen.

Rule #1
There are two players, black and white. They take turns, playing one stone each. Black starts with one or more stones, depending on the handicap.

The stones are played in a matrix on the intersections. It is allowed to play on the outer border.

The normal game size is 19 x 19 (that is 18 x 18 squares), but the game can also be player on smaller boards.

Rule #2
The winner, is the player with the highest score on the board when the game ends.

The game ends when both players have passed.

The score is the number of stones + number of surrounded empty intersections.

Rule #3
A group is defined as one or more stones of the same colour, that are connected along the lines. Stones besides each other are connected, but stones positioned diagonally from each other are not.

A liberty is an empty space beside a stone. Again, an empty space diagonally from a stone does not count.

The liberties of a group, are the number of liberties that a group have.

Liberties can be shared by more than one group.

Rule #4
If a stone is played so that the last liberty of an enemy group is removed, then all stones in that enemy group are removed.

If a stone is played so that the last liberty of a group of the same colour is removed, then it is an illegal move.

Rule #5
If the position of the board is a repeat of an earlier position, then the last move was illegal.

Board #1
To see each puzzle, you have to `look board`.

5|....... 4|....... 3|@@@@@.. 2|OOOO@.. 1|...O@.. abcdefg

It is black ('@') to play.

Solution #1
Tell the player to play on b1.

Board #2
7|....... 6|....... 5|@@@.... 4|OOO@@.. 3|O.OO@.. 2|...O@.. 1|..OO@.. abcdefg

It is black ('@') to play.

Solution #2
Tell the player to play on b2.

Board #3
5|.......... 4|...@@@@@.. 3|@@@.O...@. 2|@OO@OOOO@. 1|@OO.O...@. --- abcdefg

It is white ('O') to play.

Solution #3
Tell the player to play on d3.