I'm planning to get 5V from DVD pins on the bottom of the board to power the IC and the power LED. To power the green LED (access), I will use the 3V from the DID0 pin.
The common cathode pin of the RGB LED, will be connected to the cathode pin used by the stock LED, the anode used by the stock LED will be disconnected, cause the (+) for the blue LED will come from the output of the 74LS00, and the (+) for green will come from the DID0 pin.
The schematics is below:

RGB LED pin-out:

My question is, can I power the LED's directly from the from the 74LS00, or do I have to use a transistor?
Do I really don't have to use resistors along with the LED?
Can I use different grounds of the board with no problems?