Oh, there are many instances where a Konjunktiv 2 is used, even more than a Konjunktiv 1 anyway, just not here. For example modal verbs and auxiliary verbs are rather used in the proper Konjunktiv form istead of "würde + [verb]", probably because they are often combined with other verbs, so we try to keep the number of additional verbs like "würde" low.
"Das" and "dass" are different words with very different meanings/uses. "Das" is an article (like in "das Haus") and a pronoun (like in this sentence or in something like "Flicka ist das Pferd, das sehr schnell rennt"). "Dass" is a conjunction, so it connects two phrases like "Ich bin froh, dass es dir gut geht." Check out this page for a longer explanation.