Don't add any chemicals...ever!
The pond will naturally balance itself over time. It's good she has plants. The more, the better.
The only thing I use is a dechlorinator for when I add my city water. And when I do that, I use a small hose attachment that measures how much water I'm adding.
Also, the smaller the pond, the quicker things can go wrong because there's so little water. Basically, it's easier to keep a bigger pond than a smaller one.
Changing the water and rinsing it out is a good start. Run the filter and add lots of plants. Wait a couple weeks, then add a couple feeder goldfish. If they do well, add a few more after a week.
A liquid test kit is also good to have. Maybe the Ph is way off?