I've read the entire series twice through, so I'll do my best in staying within the confines of Part 1 of Hunger Games.
1. At this point, my favorite character was also Katniss. There are so many reasons. Comparing her to other female characters in young adult (or even adult) fiction, she is one of the strongest, most compelling characters I've read. She is internally and externally so complicated, but we understand her.
2. At this point in the story, Katniss's resentment towards her mother is strictly based off the fact that she's only her mother by title, not by her devotion to her family. Yes, she has had to deal with some serious emotional turmoil, but so has Katniss, except Katniss had to take the title of care-give to both Prim and her mother. Katniss wasn't allowed to grieve, because her mother never stopped grieving, and they literally would not survive if they all spent their days and nights crying together. She had to grow up so quickly in order to save her family.
3. I had my speculations of Peeta throughout the entire book, so don't expect to get straightforward answers at this point. I thought, at this point, that Peeta was ultimately a good person, and was more willing to accept the possibility of dying, but his motives toward Katniss confused me, as do her motives towards him at this point.
The book gets pretty graphic from here on out, be prepared!