How is baby?
The mucous membranes of a baby are continuous thru the nose/sinuses/middle ears so infection in one area may run into another. Spotty blood in mucous is often a sinus infection with the same germ. Gentle cleaning with saline & application of saline gel may end the bleeding.
Let your drs office know so they can coordinate timeing of followup. If baby's happy & playful it can wait till ofc hrs.