I actually like the old design better. It has more character with the cartoon guy and the video. There is a pleasant color scheme vs a full screen stock photo of a mailbox. Maybe try incorporating the envelope input box thing with the some elements from the older design; the new design seems to be missing the human element, which seems important since the business is about people buying something for others.
there are some points that I like about the old design:
1. The cartoon pictures are cute and tell the "story" of your service. In the new design something like this is missing.
2. The ordered list of instructions how to use the service is actually good. It's linearly ordered and concise. I like it.
3. There is a "Helpful Video"? That's fantastic!
In the new design there is a huge background image, the mail box. On my screen I see only the upper part of the picture, the wooden part visible in the screenshot is clipped - scrolling does not help, the image is fixed.
In the old design there is no background image, so the text links to the privacy policy and terms of service are better to find. Text or text links on a background image are generally not the best idea, if readability is intended. Maybe you will even have users with a mobile device that can only display some grey scale colors, then setting a sufficiently high contrast between text and background is a good idea.
On the other hand, there is now a logo for the service in the new design. That's an excellent idea, since it was missing in the old design. Pick a logo you are happy with and never change it.
The design of the "terms of service" page in the new layout is not so bad, maybe you could use parts of this design on the front page as well, plus the now missing elements from the old design? Like taking the best from two worlds ...
Please, consider to add a page about who is running the service. I always want to know who is the mind behind a site and why it is there.
I can't comment on the registration process, but I hope that there was something helpful for you in this comment.
I'll definitely try to add an "about us" page with a few details. Thanks for your thoughts!