Yes you can surely breast feed your baby. Wash your hands well and if you feel a sneeze or cough cover your mouth well. The baby is already developing anti bodies to this virus through your breast milk and is well protected. Medication is best prescribed by a physician as we do not know what will be required. However you can drink warm water few times a day, take ginger and honey paste, add turmeric and black pepper to the hot water. These are all home remedies and can give relief from cold symptoms.