For AutoCorrects, use the utility on Jay Freedman's site.
AutoCorrect2007.zip

It copies all AutoCorrects, formatted and unformatted into a word table where they can be edited if you want. It then loads them back into the same or a different system.

Your Word 2010 normal.dotm will be compatible with Word 2013 (365) but may put you into a compatibility mode.

Not sure of the rest.

Are you making the change on the same computer or a different one?