Current game year is available on the Stats screen under Race. You do have to go down two levels from the main screen, and it would be nice if it were available ON the main screen, but it's not. Gives you a reason to check the bar graphs more often and keep abreast of developments with rivals, though.
Second vote for "more, sooner" has been recorded.
As for revealing how many turns your game took, that qualifies as "spoiler information". We want players to play in isolation, without any indication of how things are going for others until the playing is done. Please save ALL information about your results for report day. If you want to talk about the game while the memories are still fresh, you can jump straight into writing your report -- just don't post it until Closing Day.
The spoiler rule is such a priority for how we run things, it's in the rules twice.

You are allowed to say that you have completed the game and/or written your report, but nothing else. No apologies necessary, just please comply strictly with that rule. Thank you!
- Sirian
Fortune favors the bold.