I LOVE the swing idea!

if it's a newborn paci works and a swing or patting them lightly on the back maybe hungrier or gassy with a upset stomach try gripe water and feeding a ounce more make sure he or she has burped enough

giving them blankets and toys and sippy let them cry for a few minutes if it doesn't work try seeing if they are hungry or wet if that don't work a bath with baby night time soap