Not sure, none of the beaches in the area allow bbq but people bbq away like there's no one's business. Also it is quite windy, so you better be careful especially in dry weather. Most beaches have signs up prohibiting BBQ so I'd say no.

Yes I believe so, there is a cafe' with seating area upstairs little bit more posh type but also downstairs on the beach side there is a kiosk where they sell take away coffee, ice cream and some sort of hot panini and I have seen people buying pizza as well from the kiosk

Depends i think what you have with you . If you have no kids and no stuff to carry ,park further up the hill . If you have kids and lots of stuff to carry , swallow the bullet, pay £15 ( less if its a grim day ) and park right next to the beach at tge bottom of the hill . Its cash only. The walk up the hill is super steep , and not nice at end of long hot day with tired kids and lots to carry .

It does belong to the hotel I believe but like most (UK) beaches is freely accessible to the public.

Yes people do BBQ on the beach in the daytime. I hope this was helpful.

Yes between 5am-8am every morning.

Carbis Bay beach does not allow dogs in the daytime. There is a sign with the times they are allowed as you arrive on the beach.

Between Sunday the before Easter and 30 Sept dogs are not permitted on the beaches Only on Carbis Bay between 5 and 8 pm for early morning dog walks

No Problems. Ample walkways available for the coastal path to St Ives. There are no obstructions for access to the beach and the small car parks around the Carbis Bay Hotel are till in operation.

yes you can