Welcome back.
AFAIK there is no "easy" way to see if Fastest Lap point is enabled. You will need to look at the results page for a league and see how many points the person with the FL received in a previous race.
Everything else is visible in the "LEAGUE SELECT" screen.
For each league:
The top row is obviously the league name and Nationality
The second row shows the days of the week the races occur (green denotes a race day) and the race start time
The third row has further details, starting from the left they are:
1. Refuelling rule icon (green = refuelling allowed)
2. Tyre rule icon (green = tyre rules enabled)
3. Number of teams currently in the tier which you will join
4. Number of cars in a team (1 or 2)
5. Race distance (25%, 50%, 75% or 100%)
6. Race speed (1.0x, 1.5x or 2.0x)
I hope this helps.