West Ham will get to see what Baka Topola are like at home first, which is good as if they are going to surprise it's likely to be away, so they'll play both their away games before West Ham away and they'll be forewarned. Next, big matches away to Freiburg and the Olympiakos double header.
Brighton open with AEK at home but then likely the hardest three games, Marseille away and both Ajax games. I am expecting AEK to take points in this group and everything be difficult. It's also a vital battleground in the battle for 5th between France and Netherlands. Anything can happen.
Rangers, it might not be Slavia, but there is still bad blood between them, so eyes are drawn to the double header on MD3+4. Rangers get Betis at home first on MD1 with Sparta playing them away on MD2.
Liverpool's order doesn't matter too much I don't think, as I don't think there's a great deal of difference between the teams they have, and they should be strong favourites. That should also give a good chance they take points off each other, lowering the points requirement for Liverpool.
