Average absolute values and build the sum distribution

X takes values −2,0,2 with probabilities 1/4,1/2,1/4 respectively. Find $\operatorname{Var}(X)$ and $E(|X|)$.

$Y=X_1+X_2$, where $X_1,X_2$ are independent observations of X. Find the distribution of Y, $\operatorname{Var}(Y)$ and $E(Y+3)$.