Determining Causality From Discrete Impulse Response
As soon as you've figured out how the given values for $h[n]$ relate to the time index $n$ (which is unclear in the current problem formulation), it should be easy to decide whether the given system is causal or not by considering the input-output relation of a discrete-time LTI system:

$$y[n]=\sum_{k=-\infty}^{\infty}h[k]x[n-k]\tag{1}$$

where $x[n]$ is the input sequence, and $y[n]$ is the output sequence.

For the system to be causal, the output at time $n$ must only depend on the current value or on past values of the input $x[n]$. What does that imply for the impulse response $h[n]$?