Hiding the selection is not working.
<style type="text/css">
.ms-WPHeaderTdSelection {display:none}
</style>
Here is the working code:
<style>
/*--------Hide the columns--------*/
.ms-viewheadertr {
display: none;
}
/*---------Hide the Add Document option-------*/
.ms-addnew {
display: none;
}
/*---------Remove the new image icon on newly added documents-------*/
IMG.ms-newgif {
display:none;
}
/*---------Hide the web part selection checkbox------*/
.ms-WPHeaderTdSelection
{
display: none;
}
</style>