1. The simple answer is no, you can't have more than one widget area on a page.

The long answer is sort of. The problem is caused by the way in which widgets are edited - there is an assumption built in to the admin system that each page will only have one widget area, adding another causes lots of problems. You can fake two widget areas on certain layouts by creating a widget that adds the necessary html markup to break your column of widgets into two columns and then use css to position them appropriately.

2. Again the simple answer is no; pagetypes can define widgetareas but not the widgets that are used within them - that info is stored in the db.

Possible solutions are: Run an SQL update query to make all the widgetareas have the same widgets as the master page.
Look at how the Random Content Widget accesses information from other pages, it should be possible to have a given page type look up the widgetarea information from another pagetype.

I have being talking about having two widget areas on page, it is not possible at all, but it will be a very useful feature if it is there as for columned website layouts we shall use it without any problem.

But for now we cant do that.

About the second question I would say know, but you can do that by creating a page and duplicating it, and then change the page type. It will work sometimes. But not a proper answer I know.