I've found learning to speak Japanese in a classroom, rather than being self-taught, is useful because you get feedback on whether what you're saying sounds correct. Is the same true about learning to read and write the kana? Are there risks in merely self-learning, or is it ok to do so? If the former, is it ok to do it in your own time and briefly show your "homework" to your teacher?
I've got some books for learning the kana including "Kana can be easy", which includes the correct stroke order and warning about which kana are similar to which other kana. And the ubiquitous pictures used as mnemonics!