How do y'all "interpret" the Logos? It's the representation of Christ, correct? But other humans interpret it as logic or reason or something? Do Christians just recognize "the word" as the human instantiation of the Christ, which is God himself in the form of a "son" to die for our sins?
John's use of the word
logos to refer to Jesus is a brilliant turn of phrase that is more straightforward in its day than it is today.
Logos would by recognised by any Greek-speaker of the time as a philosophical term, and its exact meaning differered between schools of philosophy, it was understood to be somehow related to wisdom, even a personification of reason. Philo of Alexandria identified
logos with the Angel of the Lord, a figure who appears throughout the Old Testament (the Hebrew Bible) and is very clearly God, yet somehow distinct from God.
In the Aramaic targums, which were translations and commentaries of the Hebrew Bible, the term
memra is used in place of 'the Lord'.
Memra means 'word', the same as
logos. These targums shaped the view of many among the Hebrews that there were 'two powers in heaven', God and the Angel/Word of the Lord, both of whom are the same God yet not the same person.
And so when John refers to Jesus as the Word/Logos, he is speaking partly to the Greeks and their understanding of what
logos is - that he is true wisdom - but more than that, he is saying to the Jews that Jesus is that same
memra, the Angel of the Lord, who has been present eternally and is himself God.
The association with wisdom might even draw one's attention to Proverbs 8, where wisdom is personified and says (among other things) "YHWH fathered me at the beginning of his way," which is what we can say about Jesus, who is eternally the Son of God the Father.
Do y'all ever think about the paradoxical nature of God? To me, I almost feel bad for Him in the sense that he must be lonely or also wonder why He's here Himself. Or is this just a non-starter because God understands everything?
It's a non-starter because God is triune. In that sense he is paradoxical, as we are singular beings and singular persons, but he is one being/essence, yet three distinct persons. But for this reason, he is not lonely - the Father and the Son and the Spirit are persons with eternal relationship. He doesn't have to "wonder why he's here", because he has always existed.
Are Christians required to atone/repent for their sins prior to their day of judgment, or is that when it happens and you'll have your little review and either acknowledge your sins and repent or not?
One must repent and believe in Jesus as Lord and Saviour before the day of judgement. On that day, it will be too late. There is no "little review". Jesus will return in glory, and every knee will bow to him, and be judged according to what they have done. As all have sinned and fall short of the glory of God, salvation can only be found by calling upon Jesus to cover our transgressions.