We had a “maid” (they are not called maids here ) and a gardener when I was growing up and I don’t think I’ve ever mentioned it to anyone in my adult life. My kids wouldn’t even know and certainly not any of my colleagues or friends, I can’t imagine how it would come up in conversation.
Likewise the MA. I have an MA and an M Phil but why would you talk about that socially? Its not relevant to anything. It’s only relevant at work.
I know many Americans from wealthy backgrounds through my hobby and they, like you, mention these things all the time. This is considered very vulgar and try hard by most middle and upper class British people and they will avoid you.
People who have less money and privilege will think you are an unpleasant snob and will also avoid you.
This is a very important difference between UK and USA. It’s not that British people don’t care about money and class, they do, a great deal. It’s just the indicators are more subtle and it’s extremely rude to ask directly eg “ Which school did you go to ? “ or “ how much do you earn?”.
Also the wealthier and more upper class people are, the less they talk about it and they are very understated.
So the man in the old Land Rover wearing scruffy clothes telling you he’s a farmer will in fact be a Lord and own half the county. The woman who says she works in finance will be a top banker or stockbroker.
Sometimes we visit grand country estates ( as part of our hobby ) and we will get a tour from the owner / estate manager/ head gardener.
The Americans go all out , trying to impress this person with tales of their 20 acres back home. I absolutely cringe as they fail to pick up from the cues that this person is in fact the owner of the estate and is landed gentry, part of the aristocracy.
The Americans talk down to him / her because they are almost always wearing wellies and a scruffy waxed jacket and flat cap ( women wear a different hat ) and they assume they are a gardener.
And they name drop incessantly - also very vulgar here. “ Oh yes “ they bleat “ we have been to Chatsworth - Chatsworth England, have you heard of it ? “ . When the person they are speaking to probably went to school or university with Bill, who will inherit it . Or they are married to his cousin.
So they will nod politely and the visitor will bang on “ well you really must visit , it’s amazing. It’s in Derbyshire you know , Derbyshire near Yorkshire “.
So there are very important social differences that my American acquaintances have not picked up despite their many visits to the Uk and Europe. I have subtlety broached the subject with them and it’s like water off a ducks back. They simply can’t conceive of a social interaction where they don’t signify their wealth and status right upfront. It’s like they fear the person won’t respect them if they don’t do so.
I suspect you have a similar problem OP. You need to find social circles where you have more things in common and then BUTTON IT and listen. Very very few people you meet will care about any of the things you mention in your Op.