to answer all the questions you have asked here:
1. Catalog can be seen only in administration mode when you click on the administration task bar (at the top of the screen), then on the Part catalog
2. Drag and drop mode is only available in IE browser and can be seen also only when user is logged in, and in the administration task bar you need to click on the Design mode
3. Can you please specify what exactly in not working on production server and it is working on the local machine (maybe you can provide us with a screenshot?)
Also there are few sections that can be helpful related to this topics in the MonoX manual.