That is awesome that you got Rune to eat something other than alfalfa! Buns can be such picky eaters and alfalfa is particularly hard to wean them off of so congratulations!! 🎉 Fiber, Protein, and Calcium wise Oat hay is very similar to Timothy so it should be good (definitely better than...
I agree that the second pic definitely looks like a girl. The first looks like it could be a boy but it is hard to tell for sure. This article on telling the gender of rabbits also has some advice that could be helpful! Best of luck! ❤