Any British person who can attest to this?

"A bit of a pickle" can also be replaced with "We're in a bit of a jam". This can also be replaced with "Everything's gone pear shaped." The New Zealand term is perhaps "It's all turned to custard." I'm suddenly feeling a bit peckish for some reason.

I am British and I can say that all of these are true

I am also British and yes, it is true.

How very true

These aren't just British people's problems...

THe first one isn't necessarily true, but the others really are.

I don't get well this is fun... Someone explain?

All true - especially the "well this is fun" it absolutely means it's a total catastrophe and you are having the absolute worst day ever