Cutlery has two definitions: 1. cutting/edged implements used for serving or eating food; 2. eating utensils in general. Without further context, an American is likely to assume the first definition (knives), while a Brit is more likely to go for the generic meaning. Silverware also means eating utensils, especially silver-colored ones, though nowadays, most silverware is not actually made of silver. An American synonym that does not imply anything about the silver content (or lack thereof) is flatware.
Crockery is completely different: in British English usage, it means the things on the dinner table that are usually made of china or porcelain -- plates, bowls, saucers, cups, serving bowls, etc. In American English, crockery is used for certain earthenware cooking pots, but given enough context, an American would probably understand crockery used according to the British definition.
I think noun is a more general concept. All the names are nouns! On the contrary, not all the nouns are names! Also, we usually talk about nouns in grammatical context.
According to Longman Dictionary of Contemporary English
Noun: a word or group of words that represent a person (such as ‘Michael’, ‘teacher’, or ‘police officer’), a place (such as ‘France’ or ‘school’), a thing or activity (such as ‘coffee’ or ‘football’), or a quality or idea (such as ‘danger’ or ‘happiness’). Nouns can be used as the subject or object of a verb (as in ‘The teacher arrived’ or ‘We like the teacher’) or as the object of a preposition (as in ‘good at football’).
Name: What someone or something is called such as 'Mandy'.
Proper noun: a noun such as ‘James’, ‘New York’, or ‘China’ that is the name of one particular thing and is written with a capital letter. It's also called proper name (especially British English).
Common Noun: in grammar, a common noun is any noun that is not the name of a particular person, place, or thing. For example, ‘book', ’sugar', and ‘stuff’ are common nouns.
Best Answer
"Check it" is either slang, as in attention grabbing, or it's an imperative command such as "The tire seems to be low on air..." "Check it."
"Check it up" it not something I've ever heard or read, but it sounds similar to "check it out" in the attention directing sense.
"Check it out" could be used instead of "Look at that!" or it could be used in the context of an item that is checked in and checked out, such as a library book.
TL;DR - meaning changes based on context.