Oh my, sounds like you need some help.* Let's start with the potting soil.* I suspect it contains a slow release fertilizer.* Most of them do these days, so look carefully at the bag.* Then you fertilized again and probably burned the roots, especially if you used a synthetic fertilizer.* If this is the case, put the pot in a sink and let water GENTLY run through the pot for a couple of minutes to wash out the excess fertilizer.*
Another option, if you used potting soil with fertilizer in it, would be to repot with soil that has no added fertilizer.* Unfortunately all the Miracle Gro potting soils have added synthetic slow release fertilizer.* If you can find a potting soil without the added slow release fertilizer you may have to add some perlite to help with drainage so the soil doesn't compact.*
Another problem could be having your plant on top of the refrigerator.* It's a great place to start seeds because the refrig gives off so much heat.* The added stress of excess fertilizer, added to the extra heat, may have been too much for it.*
I find my peace lily doesn't mind getting a bit dry between waterings and will wilt a bit.* I water so the water runs through the drainage holes into the saucer.* I don't let it sit in water for more then 5 or 10 minutes and dump any excess water.
Since you have had it for 4 years, I'm wondering when you repotted last.* If it's been in the same pot for a year or more, then it may be so rootbound that it can't take up moisture.* Hence, leaving it with water in the saucer for a few minutes can be helpful.
Generally once the leaves turn yellow, they won't be turning green again unless it's a nutritional deficiency.
As to your parrot plant, I'm thinking you mean Impatiens niamniamensis.
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These plants can be difficult to grow from what I'm reading.* I have never grown one myself.* They can be prone to spider mites, but I suspect something else is going on if the stems are mushy.* They like alot of water, so I don't know if it's been overwatered or has a pest.* Maybe the potting soil since you are having problems with both plants?* Did you fertilizer this one too?
When repotting it's best to choose a pot that is 2" larger then the pot the plant came out of.* Do not fertilize for at least a month if there is no fertilizer in the soil.* If there is fertilizer in the soil, do not fertilize for at least 3 months until the slow release fertilizer gets used up.* Personally, I prefer to use organic fertilizer such as fish emulsion with seaweed.* It's gentle and won't burn your plants.
Newt
When weeding, the best way to make sure you are removing a weed and not a valuable plant is to pull on it. If it comes out of the ground easily, it is a valuable plant.