Hi, first you need to confirm if you have oral hsv. You can pretty much rule out any hsv2 but do confirm a blood test for hsv1 for the babies concern.
As far as your lip symptoms go, neither of what you mention suggest oral hsv1. They are not white head and dont dissapear as quickly as your inner one did and having them inner is not common anyway.
As far as getting on your babies face, its not a concern because its not transmitted like that. Needs direct rubbing contact to be passed.
On a side note, those creams will not help.
Thank you for dropping that knowledge!! It kinda helped eased my anxiety about my baby, and idk why he gave it to me w/o testing bt I didn't question it so I just scheduled an appt with my OBGYN tomorrow morning so I'll have them test me for it & I'll post results afterwards....