Glutathione is not the first thing I'd try. One reason is that it stirs up heavy metals such as mercury. That mercury can make your symptoms worse.
I like the approach of Andy Cutler, PhD Chemistry, about glutathione (GSH). He encourages people to take the things that the body naturally uses to make GSH. That includes a diet containing some sulfur--brocoli, garlic, eggs spinach, etc.
The supplements glutamine and glycine are needed for the body to make GSH. They along with sulfur are in whey and other protein powders; however some people are sensitive to soy and milk products. Pea powder is an alternative but mroe expensive.
Vitamin C and selenium are two good antioxidants that don't kick up much mercury. They are not very expensive. The Ascorbic Acid form of vitamin C might be good with meals to assist in digestion.
The hormone pregnenolone has a growing reputation for promoting brain healing.
If you also have "difficult" mood, small doses of the mineral lithium also have a reputation for promoting brain healing.