Maybe i did not explain my self well.
I just mean "The girl has no plates." looks strange to me. For example, you will always say 'he has no doubt' or 'he has no car' but you will not use the plural for it. I would not say "The girl has no plates" but "The girl has no plate". I wonder if it is gramatically correct to use the plural in english here.
Would be nice if a native english speaker could correct me :)
Ok, native English speaker here...
'He has no doubt' - 'doubt' is describing his state of mind. We can also say 'he has no doubts', where 'doubts' are imagined to be individual objects.
'He has no car' - Of course this is singular, as what sort of person has more than 1 car! Well, yes, lots of people do, but the point is that we think of 'a car' as something you are likely to only have one of.
'The girl has no plate' - This is acceptable, but only in a situation where we would expect the girl to only have 1 plate. Perhaps when she is sitting at a table and everyone else has a plate but she doesn't.
'The girl has no plates' - We normally expect that people have plenty of plates in their house, so it feels more natural to talk about 'plates' rather than 'plate'. Without a clear context, this is the sentence which just feels more natural. This sentence is grammatically correct, in so far as this construction of 'X have no Y' is a throwback to an old grammar style and isn't a common construction in English now. We can see that Dutch grammar uses this 'verb + no' construction much more commonly than English does, but the root of this grammar feature is common to both Dutch and English.