How can I turn off the noisy notifications when mail is received or a contact is on or off line:

#1

Noisy notifications whenever an email arrives or a contact goes on or off line

#2

You can customize all notification in Menu > Tools > Settings > General > Notifications.

Clicking on the sound icon will toggle it on or off. Red = off.

#3

unfortunately, you cant turn off calendar notifications. The only option is to remove the calendar from emclient completely