The "amp" is an emitter follower. It doesn't add voltage gain, but it does add current gain, which is the ability to drive a low impedance load (presumably 75Ω).I'm not sure what the gain needs to be for the Y signal to drive the set. Here's the common mod done on the Y signal: http://www.jamma-nation-x.com/jammax/genesismods.html
The resistor on the emitter of the NPN transistor is 27 Ohms with 5v on the collector.
Yes, the signals are going to a television. A digital LCD television, specifically.
The available supply voltage in the system is single-supply 5v
I take it you are not creating an s-video signal, because your TV has the ability to take Y, Pr, and Pb directly.
I'll get back to the design, but I'm a little unsure about how I'll handle the DC offsets of the 3 inputs. I'll have to think about that. It's difficult (maybe impossible, without having hardware in front of me) to design a circuit to interface with a part whose datasheet is written in Japanese.