Need to go to Berlin next week, and BA only offering full J @ £660 one-way

Seems like the 'LH flight operated by bmi' is still available under the BD codeshare:
- can I earn miles (either BD or BA, or even LH/UA) on this flight?
- do I have any chance at all of getting into the lounge at T1 using either BD or BA silver (or even Amex Plat)?
- is this the most complicated arrangement left in aviation?


ta