Details:
-Arriving Wednesday at noon - staying at Fly by Knight hostel (somewhere near Line 5 Dongsi Station) (jet lag will be a factor)
-all day Thursday and Friday
- leave for KWL at noon

First time in PEK. I've tentatively decided to skip the GW this time around because it's someplace I'd really like to explore in more depth at a later time.
So I think I want to see the 'big' sights - Tian'anmen Square, Forbidden City, Drum Tower, Summer Palace, Temple of Heaven - this time around.

I'll be jetlagged on arrival (long flight), so something less mentally taxing would be a good choice the first afternoon (gardens, a good place to walk and look and sit and not necessarily 'think'). Any guess-timates how long it will take me to get from the airport to my lodging at that time of day/day of week?

Two full days (Thursday and Friday).

Saturday departure - how early do I need to head for the airport (T3) for my domestic flight?

Since I have no sense of geography, even when looking at a map, I need help developing a sensible itinerary without a lot of unnecessary back-tracking. Restaurant suggestions at appropriate times/locations are appreciated!

Other possibly (or not) relevant info: I don't plan on shopping in PEK, but a good basic massage is always welcome.

Also...I return to PEK on a Friday at 2 PM. Is it going to be a nightmare getting from the airport to the hostel?
I'll have one more full day in PEK (a Saturday) - suggestions?