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Here is the answer to your question:
Services are not automatically migrated from version 10.0 to later versions. The migration path for these services is to re-create them using the newer version.
Source: http://resources.arcgis.com/en/help/main/10.2/index.html#//0154000002p0000000
I'd recommend opening your 10.0 MXDs and performing a Save As to get them into a 10.2 MXD using a 10.2 ArcGIS Desktop client. From there, you can re-publish them. Make sure you register the data store(s) behind all of your MXDs with ArcGIS Server BEFORE publishing; otherwise server will attempt to make a copy of the data and ship it up to the server as local data.