An Iframe Inside Iframe. Can this be done?

Question 1

I would use the JS API for video and use the event callbacks built into the player to make the questionnaire visible.

==UPDATE==

Ok - so that link is a step by step example of how to incorporate the JS controls and callbacks for the player. But... here we go..

step 1 is to add the "?api=1" after your initial embed code.

step 2 is to load their Froogaloop library so you can listen for events...

step 3 would be to set up a callback to handle whatever event you want to listen to... The example right from this page is fantastic:

var iframe = $('#player1')[0],
player = $f(iframe),
status = $('.status');

// When the player is ready, add listeners for pause, finish, and playProgress
player.addEvent('ready', function() {
    status.text('ready');

    player.addEvent('pause', onPause);
    player.addEvent('finish', onFinish);
    player.addEvent('playProgress', onPlayProgress);
});

// Call the API when a button is pressed
$('button').bind('click', function() {
    player.api($(this).text().toLowerCase());
});

function onPause(id) {
    status.text('paused');
}

function onFinish(id) {
    status.text('finished');
}

function onPlayProgress(data, id) {
    status.text(data.seconds + 's played');
}

So, depending on when you want your survey to show, you can just tap into one of those...

player.addEvent('ready', function() {
    status.text('ready');
    $("#survey_button").show(); // <-- or whatever
});

make sense?

============= ANOTHER UPDATE ================

here's a working fiddle: http://jsfiddle.net/QkGRd/10/. You may want to read a bit about embedding resources and how the jsfiddle works as well.

Question 2

TL;DR Answer

Yes you can have an iframe inside an iframe. Though it's generally not a good idea in terms of performance.