How to deal with management can vary by area. Your best bet would be to see if you can set up something with a current shop steward after work to pick his/her brain. I hope you go to general membership meeting a lot. If not you'll need to start. Easier to talk to your BA about issues and also learn from him and other stewards there.
I know our local has a steward seminar once a year. Hopefully yours does to. I would make sure to go every year for a while if I were you.
This book is also very helpful in learning your rights.
| Labor Notes
There is much more to learn but the best advice I've read on here is... if you don't know something just say so. Don't guess. Let the member know you'll look into it right away and try and get back to the member as soon as possible with the answer.
Good luck man.