I guess the tank is a metre or 120 cms long. Simply the tank is nothing like big enough to hold the lipstick or blue angel. Not nearly big enough. These are big, fast, free swimming fish, so you'd really need to be looking for a 1000 litres plus for these fish.
The tangs are getting on fine because they're small. There's always a chance it might work long term as they're very different looking, but maybe not. You know that most people who have success with tangs have them in 75 gallons plus (300 litres) else as they get larger they suffer from 'confinement stress', rather than filtration inadequacies. One day they simply die...
Look on the bright side, according to Randy Farley-Holmes who's about the best marine aquarium chemist there is , nitrite is pretty much non toxic in marine water and he doesn't bother testing for it anymore. Worry about keeping ammonia at zero and keep an eye on nitrates...