I'm trying to grow my hair back healthy but I need to know if this is ok..?

My hair used to be fairly thick and alot more lively with less split ends and dead dried out strands, but i killed it with a straightener, dying it, and improper protection. So now I've cut it short and am slowly cutting the dyed sections off. But to ensure healthy hair growth I've started taking biotin and multivitamins and using a reconstructing conditioner. However, I still blowdry and straighten everyday. But when I do I use chi silk infusion and chi 44 iron guard. So will this be ok and still allow my hair to grow back healthy?