1994 Acura Integra car doesnt start anymore

1994 Acura Integra 4 cyl Two Wheel Drive Automatic

So my car was having a small problem before with me turning it off and the back on. When I turned it off and then came back to turn it on it would want to start but it just would'nt click on completley after a few tries then it would start. Well now it is shuttting off while I'm driving. I will drive a couple of miles on it and as soon as I brake the car will sort of shake a tiny bit and shut off, so I turn the key to turn it back on and it will just do the same thing, it will want to start but it just does'nt fully start anymore. I've checked the battery I've checked the fuses and they work fine. But curriously I changed the distributtor cap and it worked but now it's doing the same problem (take in mind that my car alarm has stopped working right when all this started happening). So I don't know if I have an electrical problem or mechanical. Will someone please help.