'She doesn't even let me hold her hand in public'

I have been dating a girl for over three months now, but she doesn't indulge in any physical displays of affection. We kiss when we are alone, but she doesn't even allow me to hold her hand when we are outside. I have asked her if she is embarrassed to be seen with me, but she says she is just uncomfortable. Is this a sign that she doesn't want people to know she is dating me? I have asked her about this repeatedly, but she always gives me the same reply. What can I do to change this?
I think you're reading too much into this. If she says she's not comfortable, that's all there is to it. Not everyone feels the need to declare their affection for someone in public. Maybe she will be comfortable enough to do so in time, but to try and insist upon it is ridiculous. The two of you have only just begun dating, which means you simply don't know her that well yet. The fact that she chooses to be with you, and is affectionate enough in private, ought to tell you that she likes you. Why do you need her to prove this in front of complete strangers anyway?

I don't want to date anyone who has a problem with my family members. All the guys I have been with before have been nasty about my relatives, which annoys me. Is this too much to ask for?
I'm not sure what the problem is. You are free to date anyone you like, and not be with anyone you think is disrespectful. What exactly is the issue here? It's not as if you are being forced into any relationship against your will.

I think my ex-boyfriend has been trying to hack into my Facebook account for a while now, but I have no proof. What can I do about this?
You can start by making sure you have a stronger password. And, if you have no proof, why worry?