Sleeping
Unlike hamster, guinea pigs aren't nocturnal and don't sleep for long periods. They just take small naps during the day and night. They often don't close their eyes unless they are feeling very relaxed and even then its not very often, as guinea pigs like to be on the alert for dange. Many guinea pigs will just relax and rest their head on the goriund, others will be totally relaxed and spread out their hind legs.
Running Away and Hiding From Being Picked Up
Guinea pigs are timid by nature, in the wild they are prey animals and their only defence is to runaway and hide. Until your guinea pig gets to know you and your voice, its very normal for them to runaway.
Even when a guinea pig has been in your life for a while, their natual instinct to flee, remains with them. Natural defence mechanism which needs to be respected and dealt with patiently. If following Guinea Pig Manual instructions, it does not need to be interpreted as a rejection of its owner. In time, there is a high probability that all guinea pigs will come to accept being picked up for cuddles and play time out of the cage.
Begging for food
When hungry or anticipating a treat, your pet will start weeking, and as its confidence grows, it will often stand up on its hind legs (like a dog). Guinea pig becomes very excited, and focus its eager eyes in the direction of the owner hoping that the owner notices his pet and its needs.
“Popcorning”
Guinea pig behaviour which exhibits hopping up in the air, running around, quickly turning in another direction and repeating the jump. This can be done repeatedly. Can be observed especially in young guinea pigs when they exhibit happiness, excitement or playfulness. Older cavies do not usually jump as high as the young ones (they are heavier), but also tend to popcorn.Running laps
Running laps around the cage is a normal behavior for a guinea pig. It does not use exercise wheels, so it have to burn off its energy in other ways.
http://www.guineapigmanual.com/guinea-pig-behaviour/