Intonation check what to do? expensive uke not OK?

If it's sharp on the first fret then the nut slots probably aren't deep enough. A little careful filing should solve your problem.
 
If it's sharp on the first fret then the nut slots probably aren't deep enough. A little careful filing should solve your problem.

Very helpfull the nut looks wrong on one side, as if neck and nut is not really done properly, should I return it or try to fix this ? Looking very closely there is a gap:

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