A Parallel from a Reflected Point

The ellipse $C:\dfrac{x^2}{a^2}+\dfrac{y^2}{b^2}=1$ ($a>b>0$) has left vertex $A(-2,0)$ and eccentricity $e=\dfrac{\sqrt 3}2$.

1. Find the standard equation of the ellipse $C$. 2. Let $P$ be a point on $C$ that is not a vertex, and let $Q$ be the reflection of $P$ across the $y$-axis. The line $l$ through $A$ parallel to $OP$ ($O$ the origin) meets $C$ again at a point $M$. When $M\neq Q$, prove that $MQ\parallel AP$.