Vacuum line issue

So I bought this car a few weeks ago, and was really happy with the interior space, ride comfort and it is well kept overall. I replaced the battery as it had been sitting for a couple of years when I bought it. Started right up, and got going just fine. After a few minutes of driving I noticed it had a really difficult time idling at a stop. Only shut off at a stop once while I have had it though. Started back up no problem. The exhaust smells strongly of gas so I am guessing I am getting a very low burn. The other morning I went to hoping and go for a drive, when the car decided it did not want to start. I have check the plugs, I am getting spark, battery is adequately charged, and I have got a full tank of gas. Did a bit of googling, and symptoms seem point to a vacuum line issue. Here is my issue; I have absolutely zero experience working with vacuum lines. I do not know where to look or what I sm looking for. Could anybody (I know how dumb this sounds) maybe take the image I provide, and just edit some circles around where these vacuum lines I need to be checking are located? Thank you in advance.