To start I would like to congratulate you for the positive test, wishing you an easy pregnancy
I reassure you that the the discharge you describe is nothing to worry about at all.
Even if there is fresh bleeding, don't worry and only depend on the ultrasound
The medications you mentioned are fine, but I think you need to add another form of progesterone
in the form of IM injection or suppository.
Finally take care and don't miss your appointments with your obstetrician.
Good luck.. Dr. Ahmed Bahaa.