Need help ASAP please!!

My 1994 Honda Accord LX has been sitting since about November 2016. I've started it and have driven it around periodically to make sure everything's all good from May to November(i got a new car). I did not start it from probably January to early march 2017. I had to replace the battery as it was bad, but now the car will start, idle extremely rough and never levels out. If you press the gas at all it wants to die or does die. Once it dies, which it eventually does regardless, it'll start and immediately die. I had to tow it somewhere and I got it to start and run long enough to get it on the flat bed but it wouldn't start after that. Plugs & wires are good, alternator is good, battery is good, oil & filter are good, and has just under a full tank of gas. I did notice that I'm not smelling any fuel and not hearing the fuel pump while trying to start it though so I was thinking it may be fuel pump and/or fuel filter, neither of which have been changed since i've owned the car(since 2005) Any of this sounds familiar to anybody? Thanks for the help guys!

 

Check fuel pressure. Low/no fuel pressure will cause no-start, but low pressure can cause failure to accelerate.

Exhaust restriction can cause poor engine response, but not high idle. Look for vacuum leak.

good luck