You could always go back to the studio for further advice from your piercer, I'd do that before asking other people.
Don't use hydrogen peroxide or any liquid with an alcohol base, it will dry out the piercing.. not good for the healing process at all.
Don't use any ointments, ointments applied on unprotected skin actually encourage bacteria to collect, and stay put. Bad.
I think what you've been doing sounds fine, make sure you wash your hands in anti-bacterial soap which you can also use to pre-clean the area if you like, water is fine though.
I would only recommend putting witch hazel on your tissue at the end of your cleaning. It not only has a great cleansing property, but it also will soothe your piercing.
Hope that helps

Lobe piercings are a walk in the park, heal super fast.