No.. don’t think any beach in the UK has

I don’t think you can. There are things being added to the beach amenities all of the time but unless they have been added very recently then no. If you check the Bournemouth, Poole and Christchurch Council website it will provide you with the latest list of amenities, it is a lovely beach but does get busy (not as busy as Bournemouth). It has lifeguard stations and marked safe areas to swim. Catering and parking are a bit limited so plan to arrive early. Studland beach, across the chain ferry, can be quieter but part of it is nudist and limited facilities, certainly no sun beds.

Agree with KW7157, that car park is great (it's wheelchair accessible if that matters to you) and perfect for access to the beach or the Rick Stein restaurant.

yes you can

It does have its own car park We went between 9:30-10am and managed fine. Up to 6 hours parking was £13

Yes

Apologies for delayed response. No. No pedals here. Paddle boards and stuff in Poole harbour though.

Beer in cans is permitted