Finally I caught up... so many spoilers on the first page, I can hardly read it at all when I was first starting Toradora. There were some dramatic scenes between characters in Toradora that annoyed the crap out of me, meaning I would have dropped this series earlier but I managed to hold on and watched because of the character design. anyways...
From what I know, Taiga's parents are separated I assume, not to mention Taiga's dad not caring much about Taiga since he hasn't been there for her enough, especially when he sent the text message to Ryuuji saying that he won't make it to Taiga's performance. Poor Taiga....but she does have the support of her friends, which is good enough.
Taiga's mother could have died, or perhaps like I said before, she separated from her husband and went on with her own life, not really sure yet since it hasn't been confirmed. As for now, Taiga's Father is Re-marrying again to his new wife from what I read here but heard he's not getting along.
As for the couples. Ill be Happy if its Ryuuji X Taiga or Ryuuji X Minori prefferably.
If not for couples, but just as friends, then thats fine too