- No.
- You will only get a security error if the embedding site uses SSL, but the iFramed one does not. Whether the sites use different certificates or not, that does not matter.
- No. (Isn’t this the same question as #1?)
Summary
Having different certificates between the main page and iframed pages is not a problem.
Embedding https:// pages with <iframe /> on a http:// page is not a problem.
However, if you are running a https:// secured page that embeds non-secure pages via http://, then you might get something like this (Internet Explorer):

It depends on the browser and its settings. For example, in IE you can turn this off:
