You sir need to first direct all of those questions to howstuffworks.com. If you type in single words like "camshaft", "engine" etc. you will get excellent explanations along with great graphics and animations. Best place to get base knowledge that I know of. Also, try using the search button on this forum as well. You're asking a lot in one post. I can answer all of those questions, but it would be MUCH easier if you took a look yourself and kind of showed that you had some knowledge, so others could more accurately answer some of those questions without having to cover such a wide array. I'll give it the quickest shot I can though.
Honda/Acura vehicles are reliable. As long as routine maintenance has been performed, the motors and the cars will be fine. If you want an Integra, and the GSR motor, just find an Integra GSR. The money difference nowadays in negligible anyways. Not too many Integras have GSR swaps; the civics etc do have GSR swaps if you're looking for a 1.8L in a light Civic hatch.
READ
Howstuffworks "Internal Combustion"
This points out all the parts on a single cylinder 4 stroke engine.
Search up Compression Ratio and Air/Fuel ratio. Compression ratio is the ratio of the Volume in the combustion chamber when the piston is at Bottom Dead Center, to the volume in the combustion chamber while the piston is at Top Dead Center (this is based on the area of the cylinder...bore, and the stroke of the motor). Air/Fuel is the ratio of Air to Fuel being burned during the combustion process.
Search up Horsepower. Horsepower really isn't a "thing". Torque is a measured quantity, which horsepower is based on. Torque = Fr (Torque = Connecting Rod Thrust * effective Crankshaft radius...this is based on a diagram I can't draw with the keyboard). ''r'' varies from 0 to Crankshaft Throw. The Power is the derivative (with respect to time) of the work being done in the engine.
BHP (brake horsepower) is measured as (according to SAE) = 2(Pi)TN/60000 kW. where 1 kW = 1.35hp, and N= crank speed in rpm.
As you can see....I can go on and on with this....with more equations...but it would help if you did some research on your own.