So if you do feel need to call, I would be very low key about it, keep it short.
I got hired years ago in face to face interview, salary was agreed upon, I went to work, payday came 2 weeks later, my check was short, so I asked the director who hired me about the "mistake" and she looked me in the eye and said "I decided the position was not worth the price we agreed upon. You can quit, if you want to".
I could not quit, I needed the job.
But I DID end up using my considerable talents to make my self indispensable, got put in charge of a new grant funded program, and looked around for a better job, which I got within a year, using the current job on my resume.
New job hired me, I asked for a confirmation in writing, they were a large corp. and a bit put out that I asked, but sent me the letter, which included the agreement to move my household from Fla. to Mobile,Ala. for the new job. and confirmed the
salary offer, ( which was 6,000 a year increase over my old job.)
Then I waited until a full staff meeting, stood up and announced my resignation, then handed the written resignation to the director who had lied to me.
She spluttered and then blurted out " I don't like people who quit when we need them"
and I replied " I don't like people who lie about hiring salaries" and walked out.
( the whole staff hated her and knew about the salary trick)
You gotta take care of yourself esp. in these times, and the email exchanges seem to have done that, esp. if they quoted a starting date.
Make a good impression and show up 20 minutes early.