To hide New, Edit or Delete button you can add one of this CSS in Custom CSS field on
wpDataTables settings page or directly on the page between<style>Your code</style> tags:

.DTTT_button_new {
display: none !important;
}

.DTTT_button_delete {
display: none !important;
}

.DTTT_button_edit {
display: none !important;
}