Keep a little notebook, not a file on a company computer, but your own personal notebook or digital file you can upload to the cloud and document what they say and do to you just in case they do try to terminate you. Keep a copy of any email correspondence. Keep it professional (which you are doing anyway).
I worked for a gov. contactor that repaired Navy ships and a group of about 30 of us returned from an overseas trip connected through JFK. Boss was a drunk; drank the whole flight over. Connecting flight was weather delayed and all the other flights that day were canx. We were told to remain in the gate area.
He took a few of the guys and went off in search of more alcohol, not telling me where he was going but when we were called to the flight he and his buddies were not there...they were in some bar, drinking, and didn't hear the announcement. Those of us who stayed made it home. They didn't, and somehow it became MY fault that a 65 year old man ended up renting a van (drunk) and driving the rest of the way home. Back in the home office, I was bullied..snide remarks came even from HR. HR sided with him. He and I almost went to fisticuffs in the parking lot. I wish I'd stayed and let them try to fire me, but I walked out and had another job within a week. (This was in the era before cell phones, by the way.) You might want to ask yourself how much longer you want to keep working for these people.
Good luck to you.

