Question regarding the number of zeros of Dirichlet L-function

Question

I have encountered the following result: Let $T\geq 2$, and let $N^*(\alpha, q, T)$ denote the number of zeros of all the L-functions $L(s, \chi)$ with primitive characters $\chi$ modulo $q$ in the region $\text{Re }s \geq \alpha$ and $|\text{Im }s| \leq T$. Then
$$ N^*(\alpha, q, T) \ll (qT)^{12(1 - \alpha)/5} \log^{B}(qT) $$ for some absolute constant $B>0$.

1. Could someone please provide a reference for this result? I have looked into Davenport (Multiplicative Number Theory) or Kolwaski-Iwaniec but I couldn't find it... (They have the result for $0 < \text{Re }s < 1$ but not in the above form)

2. Does the result hold for imprimitive characters as well?

Thank you very much.