Re: Bad Resignation Experience
Given the hostile manner in which you were treated at the exit interview of that initial job, I am of the opinion that you absolutely did the right thing in not discussing the matter any further. There is a word for that kind of treatment: bullying. In truth, you escaped.
Generally the right thing to do is to communicate with corporate management, through proper channels (that usually means starting with your supervisor), what you would like changed and why. For it to be effective, the case has to be made as to how it benefits the company as well. Otherwise, you're just wasting everyone's time. Allow a reasonable amount of time for the request(s) to be processed to get an answer.
Regardless of policies in force, anything is negotiable - policies, rules, etc. are put in place by people. In an ideal world, they are designed to smooth operations and make things run efficiently. Nevertheless, they are considerations that can be examined again, esp. in light of a legitimate exception.
If you've gone through all that and not made enough headway to be satisfied, then it's time to move on. No counteroffer, esp. at this point, should even be considered, for reasons already mentioned in this article and the other responses here.