I have this hard lump on one of my breast and it is sore when I touched it or during breastfeeding. is this considered blocked duct? any remedy to relief this?

Sound like a blocked duct. I would do the following: 1) keep pumping(every 2/3 hourly)/latching (baby's latch can help to clear the clog) 2) take a hot bath. Massage during the bath. 3) if develop fever/chills, see a doctor for antibiotics. 4) if the clog still persist, engage a lactation consultant. Valerie Ng from mums fairy is good. Thereafter, taking lecithin may help to prevent clog ducts in the future.