Yes your own admission is enough to support the charge, jordie.
It is always difficult to predict what a likely sentence might be as the court will have far more information than you can provide here. You might, just might, get away with a fine or a Conditional Discharge. Your previous good character will help a lot. You should also ensure your solicitor tells the court about the efforts you are making to keep your relationship on track (the counselling, etc.). Do not be surprised, however, if the court sees this as serious enough for a community order of some sort as domestic violence automatically ramps up the seriousness.