Where is the call log/ list of recent calls? And how do I see only 'outgoing calls' etc?

Tap the Dialpad icon on the Home tab and you will see your frequently called contacts as well as recent calls.

Tap the dial icon

Most called contacts and recent calls 

When in this view, tap the 3-dots at the top, and you can filter to see only Outgoing/ Incoming/ Missed/ Blocked calls.

Tutorial Video: