Is my guinea pig living a healthy life?

So I have one male guinea pig. I feed him a small hand full of pellets and another hand full of timothy hay plus i normally give him 2 baby carrots and 1 slice of cucumber each day. I always have water for him. I hold him at least once a day and let him roam around my room about 3 times a week. Do you think i give him enough food or is it to much? Also he has like a little log thing that he chews on sometimes but he is always chewing on his little plastic igloo. Is that okay or can he possibly get sick from chewing on it? If so how do I stop him?