A one-time HydraFacial is not a permanent solution for acne, although it may temporarily alleviate the appearance/symptoms. I recommend that you work with your skin care provider (ideally, a medical provider) to determine the cause of the acne & develop an ongoing treatment & prevention protocol. HydraFacials may well be an important component of that protocol, but you may also opt for longer term solutions, depending on the recurrence of the acne & the severity of its damage. A HydraFacial generally starts at $149-199 for a single treatment.
You can have a HydraFacial with lupus, but I do recommend that you see a medical provider with an in-depth understanding of autoimmune conditions & their effects on the skin. Often, patients with autoimmune conditions are particularly sensitive to certain ingredients or products, which can cause their skin to react in ways that others may not.
These treatments can absolutely be performed on the same day. I would plan to have the HydraFacial treatment first & follow with the PRP treatment.
Your HydraFacial response will actually be dependent upon your HydraFacialist. If you have severe comedones (whiteheads), it may be better for you to receive treatment from a medical provider & not an aesthetician, as the medical provider would likely have more insight into how to effectively treat & resolve your concern. Often, the lack of extraction from these whiteheads is from the use of non-medical grade peel applications during the extraction process.