Can this be considered wide sense stationary?
for 1, a random process is WSS if its autocovariance and mean ensemble average don't vary as a function of specific time instance, just lag.  As mentioned before, it's hard to conclude this from simply one realization of the process about the ensemble average.

However for 2, you can at least estimate what the autocovariance and mean are if the process is ergodic (which, unfortunately, you can't conclude with just a single realization).  If the process is indeed ergodic, the ensemble average is equal to the time average in the limit as your interval of average approaches infinity, which is kind of nice with regards to computability.