It looks like oak to me also. What are your intentions? do you want to touch it up and pretty much leave it like it is or do you want to refinish it? If you want to refinish it I would start there. If you want to touch it up I would remove the cane, touch it up and then install the cane. The pictures are too small to see the cane. If it looks like there is a strip of the cane material holding it in then that is easy enough anyone can replace it. If there is a series of holes where the cane is woven into the chair you need to have it done. Assuming the cane is put in with a spline it is glued in with a glue like wood glue. You soak the spline with vinegar until it loosen the glue and dig it out with a small tool like narrow screwdriver or a scratch awl. Then clean the channel out as best as you can. There are a number of different places you can purchase the cane which comes already woven in sheets. One place is Van ****'s Restorers. You cut the sheet to extend 1/2" over the groove for the spline, then soak it in warm water. When it is soft you put it on the chair and press the edges of the material into the groove with a wooden wedge and install the new spline with wood glue. I would start in the back so the seam will be in the center and work your way around until your back where you started and cut the spline and your done. Just let it dry overnight before you do anything with it. It will probably be pooched up a little innitially but as it dries the sheet will shrink and tighten.