Pallavi knows her baba too well... She understood that he wasn't taking her back home because he has forgiven her but because he wants to hurt Raghav. He didn't care about her living with the so called rakshas for so many days.. and now suddenly he sees this whole jail fiasco and Raghav's alleged involvement in it as a way to get back at Raghav and he is basically using Pallavi to hurt him because he knows he has feelings for her. Vijay Deshmukhs is an egoistic man but he is not a fool. He didnot question the authenticity of that letter even once..its natural to question who wrote that letter. Who is this mole in Jayathi jewellers who is working against Raghav... Its not like Pallavi is the only one who thinks that letter could be fake evidence to trap Raghav..But Vijay doesnt care..he saw this as an opportinity to get back at Raghav and so he went to confront him all guns blazing.. all because of his personal vendetta.. I think Pallavi sensed this...