Actually, I suspect your problems are just starting rather than being solved...
A "frost-free" freezer/fridge combo (at least here in the U.S.) is, in reality, an automatic defrost type. It goes through a cycle every so often wherein a heating device installed in the freezer section (you can't see it, it's behind a panel) comes on and melts any ice accumulated on it. The melted water runs down to a drain in the bottom and out into a catch pan. From there it simply evaporates, and cycle starts all over again.
Thing is, if you truly have a "frost-free" model and you had to chip away ice, then the auto defrost function has gone t.u. I could explain how to fix it, but it would exceed the 4,000 word limit here... call a repairman... it shouldn't cost much. Often the "heating devices" are nothing more than small (about an inch in diameter, longish (5 inches) tubes that look like the skinny desk light bulbs... sometimes they just wear out...