Reland of "Make d8 stop using to-be-deprecated APIs"

Original issue's description:
> BUG=v8:4134
> LOG=n
> R=yangguo@chromium.org
>
> Review URL: https://codereview.chromium.org/1239053004

BUG=v8:4134
LOG=n
R=yangguo@chromium.org

Review URL: https://codereview.chromium.org/1235603004

Cr-Commit-Position: refs/heads/master@{#29742}