Autism or growth delay. Or slow growth?

My 13 months old has been not responding to name and has eye contact but less otherwise he does everything playing with family, likes to go out, loves to eat, babbles, shows a gesture by romoving our hand from anything if he wants attention or to say pick him up and showed a sign with leg like wants to picked up, plays a peek a boo as soon as over he picked up our hand and put on our face to play. again, make eye to eye contact and smiles when we tingle him. Since I have doubt he is been having autistic symptoms I shown him to pediatrics,. He says he is too small to diagnose now it seems he is anemic hence his growth and development is slower. Wait for three months if still problem is there will consult neurologist. Do reply is he having autism spectrum or slow growth? No history of Autism in my or husband side.