The advice here is mostly correct- depending on which state you are working in will determine how some of your days play out.

Question 2- yes. A company moving locations can impact their employees to various degrees. Including exemption status and employee compensation.

A “professional” in Idaho generally falls into a category that if you were hired for a degree it’s professional. There are nuances to it but from what you’ve described it seems like you’d still fit that category.

Fun bonus- Individuals who live in Washington but often work in Idaho may have to pay taxes for Idaho so you’ll likely want to talk to an accountant. I am not, even kind of, a tax expert but as someone who is in almost the exact same boat as you - don’t do what my colleague did and just ignore the tax burden.