Yes, it's along the lines of "Why is it like this?" (not "that") :)
왜 - why
이렇다 - to be like this/in this way
~는 (present tense noun-modifying form)
것 - thing
(으)ㄹ까요? (in this case, "I wonder...". It looks for an opinion as you wonder aloud)
-> 이러는 것 - a thing like this (NOT "this thing" [이것]).
So ... "I wonder why it's this way???"
As for the other things you've posted, they're kind of informal and modern/young (like casual text/Internet talk). At least, it's not so literary. But anyways, I will therefore leave it to someone else :)
정답 - correct answer