Before I start, Id like to say hello from newb here and I must say this site is such an informative site for car enthusiast.

I have a question about my 81' 2door corolla liftback w/c I think some things may not be right with this car. I bought the car 2 years ago from the proceeds when I sold my 1.4 lancer box type 84mod. I think the transmission or probably the differential are not the original anymore.

The car comes with the standard 2T engine, with 5speed trans. The width of my rear differential is a lot shorter than the front width of the wheels. Width in front is 62ins, while rear measures 61ins with spacers already installed. If I take off the rear spacers width would then become a shorter. Could my differential be coming from another make? Weird isnt it?

2nd, the car has so much power (yes I can feel it) even in full seating capacity, but barely has no kick in between gear shifts and has difficulty in making regular dash, pick-up speeds, say from 2nd to 3rd then to 4th. Its quite slow but you can sense theres power in it somewhere. Could the trasmission come also from a different car make? A low speed transmission probably, or the transmission does not match the differential gears? My previous 1400cc box type was a lot more powerful, I believe. Able to pass cars uphill and even overtake on 4th gears. But sadly I had to let go of it.

How do I know if my transmission and differential are the right type for the said engine? I hate to think there could be something wrong with the engine, this engine is ultra reliable and have never given me so far any problem.

Would appreciate everyones expert advice.

Thanks and be safe everyone.