1990 Toyota Corolla Don't know whats wrong!

Okay so my car is a great car, my dad bought it new back in '90 and I got it from him a few years back. Its been kept up very well with frequent tune ups and timely oil changes etc. So a few things are a little off as of recently the biggest thing thtat worries me is that when I turn the car on (specifically when I accelerate) I hear a whirring noise. When I checked under the hood, it seemed to be coming from the right side of the car (passenger). Another odd thing is that when I idle like in traffic for a while it gets like two or three times hotter than normal. Also I think either my gauge is off or I am getting pretty bad gas mileage. Sometimes its sputters and fights me a little when I accelerate but not too often. I've checked the fluids and they are all normal. Though I'm due for a oil change its not super dier. Please help, suffering college student with no mula to play around with expensive tests at the mechanic. Thanks!