1.: EU budget =/= Eurozone bailout programs. You are a net payer, but it still isn't what was reffered to, nobody denies GB was a net payer, although one playing under different rules then everyone else. But this money IS NOT used in any bailout programs, those are exclusive to Eurozone countries!
2.: As you may have noticed, quite a few people in Germany would have loved to just send Greece into bankrupty. Including me. Let those feckers sort out their mess themselves. I'm still convinced it would have been better to just let them crash in the long run, would have saved a lot of money and might have scared the Italians enough so they would've stopped being stupid.
And sorry to say, but I did know. Especially the Irish case is one I studied quite extensively, since it very well shows that Austerity can work under the right circumstances. Tbh, my knowledge is probably vastly superior to yours. It's a case study that is very common in political science atm. This will now relate to your point 3, because the Irish crisis wasn't one of currency, and no downrating of their currency would have ever saved them, the debt was just way too big. The Irish crisis was a combined crisis of the banking and real estate, which was caused by lax Irish regulations. I know you will use that to prove your "point" as long as you breathe, but in the context mentioned it is still wrong that GB participated in any of the Eurozone bailout programs, because it did not. Neither in the Greek, the Portuguese or the Irish bailout, the British paid one penny.
They decided to lend their neighbour money in a time of need, voluntarily. Please explain to me how the EU is responsible for that. Because it just isn't. If you are against lending money to states in crisis, you should probably protest the IMF, because GB has paid more money into that one in the past decade than it paid into any bailout programs in Europe.