It depends on how heavy the vehicle is, how fast its going, and how much external drag or loading from other sources are involved (wind, hills, vehicle aerodynamics) plus the total distance traveled with all of these other factors accounted for.

1. in use - how much power is being delivered from the batteries to run the engine?

The batteries supply all the power required to run the motor. And anything else that runs. So, you can't quantify the answer.

"2. how much power is needed to recharge those batteries?"

Depends how quickly you want them to charge. So, see above.

I'm sure there are websites that deal specifically with the subject of EV's.

Good luck.

Nicely done.

In answer to :

1. Depends on lots (lots and lots.)of variables.

2. The power used on journey.

Power can not be created or destroyed apparently...just converted.

It depends on the car and so on. But what are you trying to get at with those two questions? The efficiency of the set up? You will, of course, need more kwhs to put into the storage than you get out. And what you get out won't be entirely converted into work moving the vehicle. ~~ Nehmo