I take it that your set on trying a body-part split as opposed to a FBW or push/pull split.
Lateral raises and bent-over raises work the shoulders (side and rear delts, respectively), not the back. But, I've heard of some people doing rear delts on their back day because it fits in better. Bent-over rows are great for the back, however, you should also be doing pullups. If pullups are too difficult, start out with lat pulldowns and work your way up to pullups. You can also do negatives where you stand on a chair and start with your chin over the bar, then slowly lower yourself down.
For shoulders, you should be doing some type of shoulder press. Military press is my favorite, but dumbbell presses are also good. Also, I've read that upright rows can lead to injury. I'm not sure how accurate that is, but you can always do shrugs to build your traps.
Also, add planks to your ab routine, they'll strengthen your core quite a bit.
Does your college have a decent gym? I've gone to numerous college gyms and they all had squat racks and anything else you could ever need. If that's the case, I'd recommend using the college gym and saving the money you'd otherwise spend on weights.