A few guinea pig questions...?

Your guinea pig is having a grand old time!! It is excited and happy with you and yes the running about is popcorning. Guinea pigs are like people, they all show love in their own way, I do not see any thing you have talked of as being anything but a love and happy response to you. You need to be holding her at least 2 hours a day, the more you hold her the more she will want to be held. Guinea pigs are prey animals so it is normal for them to run away when you go to pick them up even when they actually want you to hold them.