You're not the client so the PD does not have any duty to you. They are busy if they were to respond every day to return all calls by relatives it would take hours. Time that would be better spent working on the case.
It applies any public street and even some private areas open to the public. The breathalyzers aren't completely accurate so you can fight it still. Also they don't have to prove that you were operating it at the time they saw you but that you were operating it while intoxicated approximately the same time. You can get a DUI if you park your car on the side of the highway when the officer pulls up behind you.
The remedy is not to appeal. The remedy is to fix your mistake. The appeal has little chance to succeed if everything you said was true. If you're worried about your case then you should contact another attorney to fix it. Trying to fix a mistake is so much harder and less likely to succeed than simply doing it right the first time.
There are somethings that cannot be undone so you should avoid this.
There is so much missing to give you any feedback. The reality is most public defenders are good at their job especially those handling felony. The conflict counsel are generally pretty good too or they won't be contracted.
My experience is many times clients have a belief, expectation, or a misunderstanding of the process or law that is unreasonable. They believe it should work a certain way or are unwilling to accept the reality of their situation. I think you should consult with a private...