Hepatitis C or HIV would not pass in any of the examples you have given.
The main thing you would need to be careful with is around hepatitis B & C and a sharp item that could puncture the skin for example manicure tools, razors, needles etc… If these sharp tools were used on someone with hepatitis B & C and were not one use disposal items or properly sterilised after use there is a chance these could pass hepatitis to someone.
Businesses in Canada have strict infection control policies so that we do not see Hepatitis B & C commonly passed this way here, but I don’t know about what country you are in and if the business you went to takes good safety measures with their equipment.
I would recommend talking with the people at the place where you got the manicure and asking them about your concerns. It’s a common question we get at our clinic and we are always happy to show clients how we stop infections passing from one client to another when they come to see us. If they are unhelpful you could always look at going to a clinic to talk about your concern and look at getting a hepatitis B & C blood test. Also ask them about the hepatitis B vaccine as well.
Let us know if this did not answer your question or if you have any further questions or concerns.