The Question seems Incomplete and Not Self-Contained. So, I will answer it with some details altered/added.
Domain has already been given All the Persons in the Universe.
1. There exists a Cricketer whom Everyone admires.
Let some Predicates be defined as follows :
$A\left ( x,y \right ) = $ $x$ is Admired by $y$
There exists a Cricketer whom Everyone admires = $\exists _x\left ( C\left ( x \right ) \wedge \forall _y\left ( A\left ( x,y \right ) \right ) \right )$
2. Every Student has a friend (also Student) who got an A grade in the AI course.
Let some Predicates be defined as follows :
$F\left ( x,y \right ) =$ $x$ and $y$ are friends.
$A\left ( x \right ) =$ $x$ got an A grade in AI course
Every Student has a friend (Student) who got an A grade in the AI course = $\forall_x\left ( S\left ( x \right ) \rightarrow \exists_y\left ( S\left ( y \right ) \wedge \left ( x\neq y \right ) \wedge F(x,y) \wedge A\left ( y \right ) \right )\right )$