Yea... Not a good idea to use oil! It´s nice, but the lines kinda suck... And quess when thats healed (hopefully whitout oil) you may do some fixing on it.
Get all of that "oil" off of your tattoo!!! Thats about the worst thing you could use!! It needs AIR for something that tore up to stand a chance of healing well. It's good you love it, just take good care of it!