Are they going to reverse privatisation of the failing NHS,

Not really, but they’ll stop speeding it up.

failing water suppliers,

Only partly and not very effectively, but they’ll strengthen regulation

failing rail infrastructure, etc etc?

Yes they will

Are they going to stand up for unions,

Partly

workers rights,

Actually, yes, just not as much as we want

and our rights to protest?

I hope so.

Are they going to begin the long slow process of rejoining the EU

Absolutely not. But they might well strengthen common regulation and win concessions for trade with the single market.