Don't know why I feel the need to defend her, but I do.
As for the party, we don't know how long she stayed. She may have just dropped in for an hour or so to make an appearance, and got the baby to bed at the appropriate time. As for bringing baby to work, she was in a bind that day because her regular sitter was unavailable and you just have to do what you can in that situation. Been there, done that. As far as I'm concerned it's between her and Jonathan. Breastfeeding, not appropriate in a bathroom. Would you eat your lunch in there??? Eww. Be discreet and find a comfortable corner of the workroom (which I think she did), and the others can find a seat facing opposite if it bothers them.
The "mole" thing sounds more like Kim's jealousy getting out of hand. She's been the object of Kim's jealousy this season because Kim feels robbed of the extras the top stylists get. So, let's pick on Kiara, Kim, instead of realizing that you need to get more experience before you expect the same fringe benefits. (She did pay for her bf/baby out of her own pocket, so what's the big deal!?!)