Hi Govind, Thanks for the correction.
Well, as you might guess, this will not be an easy thing. You are signified by Saturn, placed technically in the 8th house of anguish and fear; and so is Mars, the ruler of your 3rd house of communications; clearly this causes you a lot of anxiety, which no doubt makes it worse!
The Moon applies to square Saturn; first it squares Venus, which we can take as the 'final outcome' of this (4th house). Venus is in fall, another testimony that you shouldn't expect a miracle. Squares always represent challenges, but I'm sure you're already well-aware that there is no quick solution to this. The Moon is in the 10th house, indicating 'the public sphere', and no doubt it is this public speaking (and professional speaking, since the 10th rules things like jobs and professions) that makes you twitchy.
Mercury is the natural ruler of speech, and is just about to enter Virgo, where it is at home and in exaltation, so I would actually see this as continuing improvements.
As you mentioned in your first post, working on self-esteem is a major part of overcoming stuttering; this is even shown in the chart by the 2nd house (self-esteem) ruler Jupiter, being in fall and retrograde in Capricorn (meaning, "low self-esteem") in the 11th house (hopes), also ruled by Jupiter. So remaining optimistic and continuing to work on your self-esteem will be your best bet: Jupiter applies by trine to Saturn from Saturn's sign. This is actually the crux of the issue.
I'm sure you have tried all sorts of things, but one thing you can do is to 'script' your interviews; I have a slight stutter sometimes as well, especially when I'm wound up: I have Uranus square Mercury natally, so my brain works faster than my mouth. I also get very tangled up on the phone, (I HATE telephones), and have left some pretty hilarious messages on answering machines in my time, purely by accident. I also had a job once which entailed giving PowerPoint presentations to the public, which I hated at first, and then grew to really, really enjoy. I would prepare the presentations well beforehand, and then practice the presentation, out loud, as many times as it took for the information to 'stick'. When I knew what I had to say, I seldom stuttered.
You can do the same things with interviews, only the 'presentation' can be about your skills and qualities and why they should hire you for the job. Make it as outrageously bragging as you can. Make a list of EVERYTHING you are good at, whether it be repairing a puncture or digging a garden, anything you can think of, and make a presentation out of it (use cue-cards if you don't have PowerPoint). Try to anticipate what sorts of questions might be asked of you (they may be asked in several different ways), and think of as many good answers as you can for each question. Practice it standing up, in front of your family (if you can bear it), or simply alone in front of a mirror or with a good friend. Have a good friend grill you about your skills and abilities. Dress in a suit and tie, and practice, practice, practice. It may feel a bit silly to assert that you are an excellent cook and take great pride in slicing bread evenly (for example), and that's the whole point. You have to practice appreciating yourself, even for the smallest of your triumphs. This gets you more comfortable with your big triumphs. And THEN you can tell everyone else how good you are.
I'm sure it would be okay to keep note cards with you during interviews that you can read from, if you find that easier; simply explain the situation to the interviewers...if they have a hard time with it, you don't want to work with them, anyhow, believe me.
The chart seems to indicate that 'overcoming' it may not be the end-game here; but you already suspected this. What the chart says is what you have already been doing: self-esteem, hard work (squares = hard work), and especially overcoming the self-consciousness that a stutter can give you. Be patient with yourself, forgive yourself when you don't get it quite right, and keep at it. From a metaphysical point of view, the things we resist are the things that we wind up with, so in essence, if you resist your stutter you will get more stuttering.
This may sound a bit odd, but learn to laugh at it, laugh at the stress it tries to give you; maybe whilst you are bragging about your puncture-repair skills, brag about your stutter and how unique it makes you. Seriously. Laugh at it. As you have acknowledged in your own post, learning to not let it bother you anymore is a huge part of the challenge.
In your chart you have the beneficial North Node right on the Ascendant, and this should give you the assurance that, actually, you'll be okay in the end.
Cheers,
AG