[RPG] Would a Wall of Water count as ‘running water’ for purposes of a vampire’s weakness to running water

As far as the rules are concerned, wall of water won't affect water whip in any way.

Water whip isn't a ranged weapon attack, and it doesn't deal fire damage, so the only part of wall of water that might make a difference here is that it is "difficult terrain". So what's difficult terrain? It's this:

Every foot of movement in difficult terrain costs 1 extra foot.

However, this is taken from the section about the movement of a creature using its speed on its turn, so it doesn't apply to any and all movement.

So as far as the rules are concerned, water whip will be completely unaffected by wall of water. It's up to you if you want to change this; as always, you can make whatever houserules you deem appropriate.

RAW, they will not awaken.

The sleep spell clearly lists the ways to awaken the sleeper. This is magical slumber, which can occur even in the pitch of mortal combat (in fact usually in the pitch of mortal combat). It is not ordinary sleep. Note that the action to awaken the sleeper is to take damage, or be shaken or slapped. The spell says nothing about loud noises, bright lights or other things that normally awaken sleepers.

The entangle spell has no language in it that describes a level of violence even so mild as a slap or shake. A DM is free to interpret this otherwise (that's their job), but there is no specific language in the rules to suggest that the entangle spell will awaken a magically slept person.