Capital Gain on home sale: exactly 2 years and 1 day

We bought our house on June 3, 2019 (closing date) for $700k and if we list the house to sell now and set our closing date to June 4, 2021 for $800k.

 

A. I would be able to claim the tax exemption on the $100k profit from the difference and there won't be any tax charged for this transaction?

 

B. Also if I am selling due to relocating for work, having lived 23month out of 24month required would qualify me for the partial credit that offset this $100k gain as well right?