Welcome to the forum. Thanks for your question.
You can rely on the Western blot result: you are not infected with either HSV-1 or HSV-2. That was in fact predictable based on your HSV-2 IgG test results. As Terri probably told you, even though an ELISA ratio of 1.38 is technically positive (the official cut-off is 0.9 or below for definite negative and 1.1 or more for positive), the large majority of persons with results in your range are not infected. Only ratios of 3.5 or higher are unequivocally positive. Here is a link to a thread that discusses this in detail:
http://www.medhelp.org/posts/STDs/IGG-Test-Result-Confusion/show/593272
Beyond your test results, your sexual lifestyle has been essentially zero risk for HSV-2. All things considred, I hope your new girlfriend can understand and accept that you don't have it. To your specific questions:
1) In the circumstances described -- low risk for infection, minimally positive IgG test, and negative WB -- there is no chance the WB is falsely negative and no chance you have either HSV-1 or HSV-2.
2) No chance.
3) Nope.
4) Yes indeed.
5) I'm not going to cite my personal qualifications. Feel free to google me for evidence of my expertise.
Unfortunately, your experience is common. Most doctors will simply rely on the information provided by the laboratory, without necessarily having understanding about how these tests actually perform. See the thread linked above.
I hope this has helped. Best wishes to you, and warmest wishes to both you and your partner for a fulfulling, rewarding, romantic relationship.
HHH, MD