I think it's likely your hair is just growing out the damage, and when the damage is gone, your hair will be okay again. Now it is possible that vitamin/mineral deficiencies could affect the health of your hair over the long term, so it's important to ensure you eat healthily, and maybe take a good quality one a day supplement.
However, even if you were to optimize your nutrition now, your hair would still be splitting etc., as what you put in your body today isn't going to show up in your hair for some time (it will obviously affect the new growing hair, but can't have any impact at all on the old hair that's already damaged).
I don't believe hair damage can be "fixed". I believe it can sort of be "bandaged" so it doesn't get any worse, but hair's just protein and once there's damage, it's going to stay. You can do moisturizing treatments that may make your hair feel and look better, you can do protein treatments if your hair requires them, and these can also help improve your hair for a certain amount of time... BUT these are just sort of like putting sticky tape on something that's broken. You may hold it together, but it's still broken!
That being said, if you continue to take good care of your hair, and you ensure you have good nutrition, when your damage is all gone your hair may be even better than it was before. You've also learned a valuable lesson in how damaging using permanent colors can be on some types of hair (some people seem to get a lot less damage than others), as well as using heat, and you know the effects of these now, so you'll be less likely to fall into the same trap in the future.
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