1. Ewido only has real-time protection if you have paid for the licensed version. NOD32 is also covers all forms off malware/spyware anyway, so you have some real-time protection against it already.
2. Yes, if you re-check your settings in NOD32. I use both, but I do not have the Ewido context menu option enabled, so I can't say whether it causes some conflict or priority issue with the context menu entries.