Several functional analysis questions

Question

I've an exam tomorrow, and was regarding the last year's one. TRUE OR FALSE and why whoever wants to try, no need.

1. If E is a normed space with all its separable subspaces being reflexive, then E itself is reflexive.
2. Every reflexive subspace of $l¹$ is finite dimensional.
3. If E is a normed space and $T$ a compact operator such that $T²=T$, then T has finite dimensional range.

Thanks.