NL Turn/River minimum?

[BlibbityBlabbity]

This seems like a stupid thing, but I was almost positive that all the online sites used to do something different (but I may just have been thinking of limit HE) and it came up as a discrepancy between two live games I have played in.

Question:

1) To confirm: in NLHE, the minimum bet on the turn/river are the same as PF and on the flop? So, if it is 5/10 the minimum opening bet is always 10 for each street.

2) I checked on FT/PS in cash and tournaments and it does play according to #1 above.

3) Has it ever been different online? Meaning that the turn and river double the minimum (as in limit). I was almost positive that was how I learned the game online.

4) Is this a common rule change in home games/casinos/cardrooms? I see lots of confusion searching and seeing the question asked on other forums.

Thanks, and please excuse the basic question... I want to have as much info as possible before I go to the game Tuesday night and "clear up" the discrepancy (argument) that came up at the game two weeks ago.