Hard to say since I don't know how your wound healing is progressing, but I don't think it would be a good idea to rub with too much vigour if it is a brand new scar that hasn't healed properly.
Provided your physician has given you the OK to use other products to cleanse the wound, I would adjust the pressure applied accordingly - do they still hurt?
For the , perhaps you could start by applying some to your hand and gently massage the area. If the wound feels like it can handle a bit of exfoliation, you might then try to apply the bar directly onto the skin when you shower.
For the Flawless, probably use a moderate approach and pat it in.
I would start with the Java Bar for shower, then Flawless afterwards.