I have noticed that caissa has been sending draw notices after only 3 to 4 moves. I know it is setup to offer them, but why so soon?
 
Or is this a bug?

Hmmm...not sure what you are referring to. In certain situations, like three move repetition of position, the Caissa system will make an automatic draw offer. I don't know of any situations 3 or 4 moves into a game that would cause the system to do this. Does this happen in all of your games? Perhaps your opponent has offered a draw for some reason?

Not all games. If it was in the caissaclassic site I would say they are hitting it on accident, but it is set up different here. I also know about the 3 move repetition, but they are not the same three moves.

Draw by repetition is defined by position, not moves. That is, if the same position occurs three times, it's a draw. Same position covers not only same arrangement of pieces, but also the same turn to move and the same possibility (or impossibility) of castling or en passant capture.

Thanks for the definition smjg, but what is confusing me is some of these are happening in the very beginning of the game.

The next time this happens, let us know before making a move and we will review it.