Can I change which server my Minecraft skin goes to? (If yes, how?)
According to the Minecraft Support Pages:
If you are playing version 1.3 or earlier, skin changes will not be reflected in-game.
Additionally, a message is shown near the skin upload field:
Note: Skin changes in Minecraft version 1.7.9 and future versions should happen immediately. If you are playing version 1.7.8 or an earlier version, skin changes may take up to an hour to be applied. If you are playing version 1.3 or earlier, skin changes will not be reflected in-game.
(emphasis mine)
This basically means you can't change your pre-1.3 skin anymore.