Need to add unique read more link to excerpt

Should be hard. As you can see, the filter passes two argument, $excerpt and $featured_page_id. That second lets you do all sorts of fun stuff.

If this is a one-off change and you need to test for the page’s ID, you can do that by replacing XX with the page’s ID in the snippet below:

function fapw_read_more( $excerpt, $featured_page_id ) {
    if( $featured_page_id == XX ) {
        $fapw_read_more_text = 'Services';
    } else {
        $fapw_read_more_text = 'Read More';
    }
    return $excerpt . '</p><p class="read-more-wrapper"><a class="read-more-link" href="' . get_permalink( $featured_page_id ) . '">' . $fapw_read_more_text . '</a>';
}
add_filter( 'fpw_excerpt', 'fapw_read_more', 10, 2 );

Or, you may really just want to repeat the title of the page:

function fapw_read_more( $excerpt, $featured_page_id ) {
    $fapw_read_more_text = 'Continue Reading "' . get_the_title( $featured_page_id ) .'"…';
    return $excerpt . '</p><p class="read-more-wrapper"><a class="read-more-link" href="' . get_permalink( $featured_page_id ) . '">' . $fapw_read_more_text . '</a>';
}
add_filter( 'fpw_excerpt', 'fapw_read_more', 10, 2 );

That would change “Read More…” to “Continue Reading “Services”…”

Those are just two options. With the ID, you can do just about anything you want. For instance, you could make a custom field to store read more text for the page and then grab it with get_post_meta().