TCA peels can do some serious magic. They can also mess up your skin. Although it is easier now than ever before to buy professional level peels outside of a doctor's office or qualified facial spa, that does not mean they have suddenly become safe for a non-professional to use.
As to your red/brown spot... The red means there is still some inflammation going on in the skin from the damage caused by the peel - either that or you now have damaged capillaries. The brown is a typical post-response to too much injury to the skin caused by your melanocytes creating melanin (brown pigment) in an attempt to protect the damaged tissue.
Professional estheticians, skin doctors and their nurses all have specific training in chemical peel application. That's the safest path to getting the kind of results you want without exposing yourself to countless risks when you do it on your own.
Your skin may heal fully over time. And only time will tell. I'm sorry if this sounds like a chastisement, but more and more we see patients in our practice who have problems from self-applied peels that were too strong or the wrong peel for their skin type or color. And all of those problems were completely avoidable
When it's your face, safe should always be the first consideration.
As a side note, if you take care of your skin in a committed fashion, you may find you don't even "need" peels. Something to think about, isn't it?