Although I'm not a fan of Star Trek, I do think this is a brilliant Lego model of the Enterprise from Star Trek, the details make the model stand out, like you I like building Lego spaceships, in my case I decided to build Scorpio from Blake's 7 Season 4, why don't you have a look at my Lego model, I have included the url for my Lego Blake's 7 Scorpio. http://www.mocpages.com/moc.php/355299
Building on what Mark said, you have a slight inacuracy in the warp nacelle design. Namely, the warp coils (the blue part) should be solid rather than split. The use of white instead of grey IS inacurate, but thats the way I would have done it as well. In adition, the deflector IS accurate color-wise, but for the sake of tradition, I would have made it blue instead of yellow.
Not bad. A very good first MOC. Being an accuracy freak, I do have a few critiques. The red line on the engnneering hull is accurate. However, the shp is primarily gray. the phaser banks are too close and they are a darker gray. The bussard collectors on the engines is excesively big. You nailed the deflector. The sticker/paper is a good idea. However, it is advisable to put flat tiles and then glue. I think that if you modify it and relaunch it this would be a popular build. On the whole great work though!