Hi Fammy,
You've picked an interesting project.
To answer you question 1), here's a link to some information in Wikipedia that Ray missed in his reply:
http://en.wikipedia.org/wiki/Gastric_acid. It will tell you a lot about the chemical make-up of stomach (gastric) acid, especially about it's pH. That's what you'll need to measure after you make up your solution to ensure it resembles gastric acid.
Regarding your question about temperature, I think if you heat it to approximately body temperature, 98.6 F, you would get an excellent simulation of what will happen to those pain relievers in a person's stomach. Keep this in mind, chemical reactions work faster the higher the temperature. As a matter of fact, for every 10 degrees C (that's about 18 degrees F) in temperature increase the rate of reaction doubles. So no matter what temperature you select for your experiment, it would be most important to control it in some manner so each pain reliever gets tested at the same temperature - within a couple degrees F.
Both Ray and Ivo gave you excellent recommendations regarding safety. Always wear safety glasses. Always ADD ACID TO WATER - NEVER the other way around, no matter what kid of acid it is, and I would also recommend a rubber lab apron and good rubber gloves. HCl can be pretty aggressive.
Have fun with your project.
Ed Neu
Buffalo, MN