Learn English – the difference between “particularly” and “in particular”

"Hence" means "from here". "Get thee hence!" is old English for "get out of here". "Henceforwards" is "from this time on".

"Thus" means "in this way". In older English, you might say "he opened the door thus", while demonstrating the action.

In logical senses, you can use them in similar contexts. "If x is true, then y is true. X is true. Hence, y is also true." "If x is true, then y is true. I have proved x is true. Thus, I have proved y to be true also."

Think of them as "based on this fact" and "in this way" and you can't go far wrong.

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.