Expectation and Variance of $\bar{X}/S$

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I got stuck on the following problem:

Let $X_1 , \dots , X_n$ be iid from $N(\mu,\sigma^2)$. How can I obtain E$(\bar{X}/S)$, E$((\bar{X}/S)^2)$ and E$(\bar{X}^2)$, E$((\bar{X}^2)^2)$?

$\bar{X}$ is the sample mean and $S^2$ sample variance.

I've tried jacobian method for the first without success, and no idea on how to deal with the second.

Thanks for your help