This is the first time that I see Kossin and DW stand exactly the opposite.

it happens. Duckweed is usually right in those instances
I'm OK to try scratching the top defender. I tend to wager a lot in war myself, however I also tend to get bad RNG odds so I've become more conservative with time.
Hmm, the only techs Ram has that we'd want is Music and Drama.
Drama can be gotten via others, but Music we'll have to squeeze out of either Ram or Hammy. However we can't get Music this turn because we lack Literature and Drama. [need to get started on Cathedrals one day or another]
Peace with Ram can only be achieved starting next turn as a result. This means 11 turns before we resume war on him... too long. Cease Fire for me.
Bibracte should start on Ironworks right away, the earlier it's done, the better. All forests should go to it.
With regards to the GM: we're in a tough spot, however I agree, let's delay.
BTW, which cities of Hammy do you want to capture?
My top 4:
1. Babylon - Wonders and everything
2. Akkad - so many cottages
3. Dur-Kurigalzu - Confu shrine
4. Sippar/Borsippa - Taoism (but it'll have some cultural trouble with Saladin)