I am sorry, my question is very naive.

Let us suppose that $V$ is a smooth complex projective variety, and that $Y\subset V$ is a very ample smooth divisor.

A contraction of $Y$ in $V$ exists in the category of complex spaces (cf Grauert) and in the category of algebraic spaces (cf Artin) because $Y$ is ample.

$\textbf{Question 1:}$ do a contraction is projective when $Y$ is very ample? Any counter-example or reference?

$\textbf{Question 2:}$ if $Y$ is very ample and a contraction is a projective variety $V'$ what can be said about the singular points of $V'$? What type of singularities can occur?

$\textbf{Question 3:}$ let us start with a singular projective variety $V'$ of dimension $n$ with at worst isolated singularities, and we suppose that the tangent cone of $V'$ at each of these singular points is an affine cone over a smooth projective hypersurface $Q$ of dimension $n-1$. Am I correct if I say that there exists a resolution $V$ of $V'$ whose exceptional divisors are isomorphic to the $Q$'s and are very ample?