Possible colic?

My husband and I are wondering if our baby has colic or just is how a 1 month old baby acts.  He pretty much wants to be held all day or worn in my Moby wrap. If you put him down for a second, in a swing, in his rock and play or on his play mat, he screams. He won't stop screaming until he tires himself out or we pick him up. (I don't ever let him cry it out/tire himself out, I just know this because one time I was in the shower and couldn't get to him right away). He will have just eaten, diaper changed and I will put him down and he will scream and cry. He also will not sleep for more than 30 min-1 hour stretches in his bassinet. I have now been having him sleep with me and he will sleep 2-5 hour stretches this way, but I don't want to make a habit of co-sleeping even though I am safe about it.