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Обычно, но не всегда. В любом случае, мне хотелось показать разницу между словами "имя" и "название".
These are shades of gray. :)
Aniway, I tried to show difference between "имя" & "название"....

You are right in a manner. Кличка = имя talking about animals (especially dogs), but I think it isn't right for a plant. "Имя" is better here.

Not only for people but also for pets or any other living being who has it's own proper name. For example a lonely old lady names her cactus Bill. Thus "Bill" is "имя" of the plant, while "cactus" is...

Those are incorrect:
Я сдам Вам книгу, Иван Иванович и Анна Николаевна.
А, это Вы, Иван Иванович и Анна Николаевна !

You should use "Вы" as a polite form of adress to a single person. Talking to...