Bataille Empire

Should 'moving towards an objective' mean moving towards your own side's objective and not include enemy objectives?

On reflection, I am unsure about this. Perhaps it is more simple just to have objectives rather than each side having their own.

You must full move To an unhold objective.

Yes, it doesn't matter then who placed the objective marker.

yes

What if its an objective held by the enemy -I would guess this is allowed otherwise its a bit silly!

You try to take objectives. So either neutral or occupied by enemy.
If you lose one of your own objectives, you can move toward it, since it's now occupied by enemy.