“The thought of being back around my family, the things I love to do, my old friends is making me want to go back more and more.”
Unless you are starving or persecuted in your home country, go home. Neither time nor mone can restore family, friends, things you like to do in your home country.
Everyone is suggesting they keep looking in Europe, but perhaps they should cut their losses and go back to the US. OP has already received 50 rejections.
It sounds like this trial period can be quite dangerous as all the leverage is on the side of the employer. Of course OP could try to get new language written in to a contract next time, but that sounds hard in a foreign context (language issues, lack of understanding of the law, etc.) and would cost even more money. Just the thought of 6K to relocate pets is heart stopping to me!
It might be worth pursuing a legal remedy but I doubt that the “reputable organization” would lay off OP if it were illegal. More money for OP to spend.
Still, depending on OP’s field there might be an obvious place to apply (but OP has probably already done that and been rejected 50 times). Also, multiple pets make it harder to find housing which is already scarce in many places in Europe.
This is an important cautionary tale. I doubt I would have had the foresight to modify the contract for the trial period, etc. OP was caught up in the moment of getting a job - an exciting prospect - and the organization assured her the trial period was standard and implied it would not affect her. I doubt if the hiring managers knew of the layoff, but somebody should have mentioned other contingencies (like layoffs) that affect trial periods. They only mentioned performance as an issue.
OP is young, she does not have children, she can move to the US and try it out. She has friends and family there, it seems low risk.
Everyone is reacting to that one sentence about xenophobia but read the rest of the post. She is tired of the blasé attitude, of not getting all the cultural references, of not quite fitting in despite her linguistic skills. That’s enough to warrant trying out the US.
Most posts here are justifying their own actions and preferences and decisions. OP clearly wants to go home for very sound reasons. There is no shame in trying something and deciding it it not for you.