Conditional probability

Which of the following statements is correct for an arbitrary $A$?

1. $\mathbb{P}(A) < \mathbb{P}(A | A) < \mathbb{P}(A \cap A)$

2. $\mathbb{P}(A) > \mathbb{P}(A | A) > \mathbb{P}(A \cap A)$

3. $\mathbb{P} (A) = \mathbb{P}(A \cap A)$ and $\mathbb{P}(A) \leq \mathbb{P}(A | A)$

4. $\mathbb{P}(A) =\mathbb{P}(A \cap A)$ and $\mathbb{P}(A | A) = \mathbb{P}(A)$