Should I have a schedule for my 2 months? But how am I going to do it? He wakes up 1 or 2 hrs for milk. How can I make him sleep more at night? Or is he too young to start as he need his milk in the night.

You can have a simple routine of Eat followed by Play then Sleep. Try not to keep them up for too long so that they don't get overtired. For 2 months old, they probably need to have a nap again after 1.5 hours of being awake. Slowly the intervals will get longer. As with milk, maybe go with your child's request as they do get moments of growth spurts where they require more milk.