Kicking: No, automatic or not.
Automatic kicking would be terrible, just think of all the times you could kill a bunch of teammates by running towards them and accidently contacting a live nade. How much would it suck to be running towards friendlies in a trench to help them cap an objective only to blow them all to pieces when a grenade lands right in front of you while you are running?
Also, kicking in general is pretty unrealistic. For the F1: Try kicking something small and dense like a baseball. How far and even semi-accurately do you think you could manage to get it to fly? M-24: Do you really think you could kick an irregularly shaped and balanced object in such a way that it would actually travel very far?
Throwing: Depends.
I don't like this one too much either. While I can see a few valid situations where it would be a welcome feature (landing almost on top of you or at your feet, as the other have said), but otherwise useless and possibly unbalancing. You need to remember, no matter what, if a player finds a feature he can exploit to his own advantage (not necessarily in the cheating sense) he will use it at every possible instance. Also, you need to take into account the fact that even though RO has relatively long re-spawn times (compared to other games) the average player has little care about dying, and probably values getting that extra kill over dying one more time in 80-90% of the times he has to make the choice. If you decided to implement it, you would have to shape it so that the player has the option to save his ass in the event that he will probably die anyway, but discourages gambling unnecessarily with his life. It could be implemented well if you could somehow limit its use by basically saying "you can't pick up a grenade if you have to take more than 2 steps to get to it" but I don't see how you could put this restriction ingame realistically. (I can already hear myself thinking: "Dammit, why can i pick up the grenade that's .5 seconds away from exploding that lands in my face while I can't pick up the unprimed grenade that lands 4 feet away?!")
Like many of the other controversial suggestions that have been posed I'll say (and it's almost clich