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А: Я ищу банк “Pоссийский кредит”.
Помните! – Remember!
Помните, что скоро начинается сегодняшняя встреча. – Remember that today’s meeting begins soon.

Два, потому что вторая форма вежиливая. :)

If you'd like, Grogs, I could translate the rules, if necessary, it's not difficult. ;)

There are many rules where you should use quotation marks and where not. Some rules are here: http://www.evartist.narod.ru/text1/54.htm

Of course, all these variants are possible, but in this case we are talking about the concrete context:

А: Вы не знаете Ивана Петрова?
Б: Да, я его знаю.

The answer sounds unnatural for...

It is not quite natural to use "да" in the Russian answer, to my thinking. Maybe others would not agree. Better using "нет". English and Russian answers of this kind differ; for the English language,...