it is much easier to make a post for each question. Easier for me to answer and also for other people to learn form it. But no worries…
I am sure there is a way. Look into APPEND. To fetch text from a div and apply it to another div is not that difficult.
Consider as well this:
http://laytheme.com/documentation.html#custom-javascript
You mean for the Thumbail Grid? No. not possible yet. But a good idea.
Not really possible. I will write it down for the future.
Dear @Sunnyi
sure. You can run LayTheme on a subdomain and have a small HTML page on the read domain which says: UNDER CONSTRUCTION.
Best check back with your provider of how to then forward your domain to the LayTheme.
You probably just have to switch the target of the domain to the Wordpress folder.