Given an elliptic curve over $\mathbb Z_n$ 

1. Is it $\#P$ hard to compute $\# E(\mathbb Z_n)$?

2. Is it $PP$-hard to compute $\# E(\mathbb Z_n)\leq\frac n2$?

3. Is it $\oplus P$ hard to compute $\# E(\mathbb Z_n)\bmod 2$?