Hi noelberg
I think your fish has a bacterial infection. The spot, which might appear to be a fungus or a raw looking spot, and the damaged tail are both symptoms of this.
Bacteria that cause this condition are always present in a tank, but only affect the fish when their immune system is weakened by one or more of the following conditions: overcrowding, high nitrites, overfeeding, rapid temperature increase, infrequent water changes, or low oxygen content in the water. If any of these conditions might exist, do not delay treatment.
To treat it, first do a big water change and thoroughly clean the gravel at the bottom. Add an airstone, if possible, to increase oxygen content in the water and gradually lower the temperature to no higher than 75 degrees. These things will slow the growth of the bacteria.
My first choice of medication is the antibiotic Kanamycin. This is sold as Kanacyn by Aquatronics, or KanaPlex by Seachem. If this is not available, use both Maracyn and Maracyn2 together. This will treat both the Columnaris and Aeromonas bacteria, either or both of which might be infecting your fish.
It is most important to keep your water clean and aerated to prevent and cure this condition. Stable temperature and slow increases or decreases are also important in maintaining good fish health.
Please let me know what you decide to do and how things work out.