Hi Carmen,
1. You can find the images folder at [your-site-main-folder]/wp-content/themes/pixdesign/images/.
2. To change the video, login to your admin panel and go to Appearance->Theme Settings page. Replace the value of Youtube Video ID. See sample to understand what to replace.
4. With regards to the register form, did you mean the newsletter at the sidebar in your own blog? You have to update the subscription form in your new site. Kindly go to sidebar.php at line 15. I'm not sure if this is allowed by wordpress.com but you can try. Replace the form with this:
<form id="subscribe-blog" accept-charset="utf-8" method="post" action="http://subscribe.wordpress.com">
<input type="text" id="subscribe-field" value="Enter your email..." onfocus="if(this.value =='Enter your email...'){ this.value='';}" onblur="if(this.value ==''){ this.value='Enter your email...';}" name="email">
<button type="submit">Subscribe</button>
<input type="hidden" value="subscribe" name="action">
<input type="hidden" value="12299298" name="blog_id">
<input type="hidden" value="http://www.palissandre.biz" name="source">
<input type="hidden" value="widget" name="sub-type">
<input type="hidden" value="238a77044a" name="_wpnonce" id="_wpnonce"><input type="hidden" value="/" name="_wp_http_referer">
</form>
5. Wordpress.com has statistics in the dashboard which you cannot find in a wordpress installed site. Perhaps you can search for wordpress plugins that does the same.
Hope these helps,
WPTD Webmaster