Doubts about Converting MyISAM to InnoDB (master/slave and more)

I want to convert my MySQL DB (46 Tables, 2.1 GB) from MyISAM to InnoDB. I have a couple of questions about this process.

1. Since I have a Master/Slave structure, do I need to manage this and change the Slave also? Or any structural changes will directly affect the Slave?

2. Do I have to stop the slave before the conversion?

3. I'm using MySQL 5.5.32 (on ubuntu 12.04). Should I update MySQL (to 5.6.*) before the conversion?

4. I use only stored procedure to run queries. Is there something I need to change for the new engine?

If you have any other suggestions, feel free to share them with me.