Arshia, I agree with almost everything you said. we really could be overanalzing the packing thing and I too don't think BS would survive more than a day without Appu there, esp if his anger is gone!
And yes he wouldn't believe HC lied either...he would just think that he misunderstood her accusations instead and forget about HC's antics altogether.
If Appu is leaving K house, the only they could show the vrat before their reconcilation is if they make it a part of the manaoing track...I mean something like BS fasting and going to Appu and refusing to eat until she breaks his fast and Appu would refuse to do so and he might faint or get dizzy and she might have secretly fasted since Mai told her to (since I doubt she would stop talking to the family even if she left). But I sincerely hope that it comes after they reconcile because then it would actually have a romantic and light-hearted touch to it instead of dramatic.
About the kiss though: how I wish!!!!! but I think it will only happen in BS's dreams and ours for now!