Just an update.
I have been to my GP, lovely woman. She believes tat it might be silent reflux, and that I should first try gaviscon advanced and see how I go before she prescribes me anything.

She felt around my torso and she said my organs seem fine, and that all the breathing issues and tighteness is most probably anxiety or hormonal triggered anxiety.
She also wrote a prescription out for setraline. Anybody on that? And also talked about possible medication for hormones, namely sequential combined hrt - not sure what that means- anybody on it or tried it?
She also recommedned this website, which was cool. I was like "I'm on!".