Here's the corrected code:
```
class TreeNode:
def __init__(self, data, left=None, right=None):
# Correct the mistakes
self.data = data
self.left_child = left
self.right_child = right
node1 = TreeNode("B")
node2 = TreeNode("C")
# Correct the mistake
root_node = TreeNode("A", node1, node2)
```
In the `TreeNode` class, the `__init__()` method initializes the `data`, `left_child`, and `right_child` attributes. In the original code, the `data`, `left_child`, and `right_child` attributes were initialized to `None`, which is incorrect.
In the corrected code, the `data` attribute is initialized to the `data` parameter passed to the constructor, and the `left_child` and `right_child` attributes are initialized to the `left` and `right` parameters passed to the constructor, respectively.
Also, in the original code, the `root_node` was initialized with the `node1` and `node2` objects as its `data` and `left_child` attributes, respectively, which is incorrect. In the corrected code, the `root_node` is initialized with `"A"` as its `data` attribute, and `node1` and `node2` as its `left_child` and `right_child` attributes, respectively.