Aww, sounds like your little one is just lonely and quite happy to spend all of his time in your lap

Some babies just don't care for toys/chews but since you said he loves to eat perhaps you can buy one of those treat dispenser toys so he can work at getting the food/treat out. Mine never cared for rawhide but they do love the Merrick's flossies and will chew on those for quite some time.
BTW, welcome to YT and congratulations on your new baby