#1 That should be clarified before you even start. If the recruiter didn't give you sufficient information, always follow up with an email clarifying your point. It goes further than you can imagine.
Seems like it was a issue with both parties. However, I will say, if someone brand new is asking about WFH during their first week, regardless of circumstance, I would probably have done the same.
There are vastly more job seekers than there are jobs and the simple solution is to find someone else. I hate to say it but it has been that way since the end of 2023.
#3 If #1 didn't exist, they probably would have talked to you. But when you start by asking for WFH every day, it just adds fuel to the fire.
Add in #2, and it gives the perception of laziness. While that may not be the case, you have to think about how your actions create an image of you, to the employer. Many people don't think about this piece.
I know I'm going to get flamed for this response but as a Senior HR Leader who has nearly 15 years of recruiting/HR experience... it is just the reality of the situation. It isn't a toxic work environment. There is ownership needed on your part of this failed working relationship and then learning of what not to do next time.