1995 Honda Civic Stuttering Problem

I have just bought a 1995 honda civic dx 2dr coupe from a friend and it only has 97000 miles on it. I'm pretty sure it has been sitting for quite some time. Ive been driving it and I just came across this problem with it. Everytime I accelerate about half way the car stutters as if someone is pressing on the breaks and then lets go. I changed the fuel filter, spark plugs, spark plug wires, and trans fluid a few days ago and it still has the same problem. Today I was going up a hill and it stuttered and then it totally died on me showing the battery light, and the oil light on the bashboard. I have no clue what is going on and it would be nice you could help me. Thank you.