No, Sasuke does not have the curse mark anymore. Itachi Uchiha (his brother) was able to use the Totsuka blade to completely remove the Cursed Seal of Heaven from Sasuke Uchiha.
No. Not at all. Sasuke, despite popular belief did get weaker. The curse mark makes you very strong.
For example, if a recipe calls for 1 stick of butter (8 tablespoons), use 6 tablespoons oil.
She was born in Age 733, and she met Goku in Age 749, putting her at 16 years old at the time. Battle of Gods contradicts this. It takes place in Age 778, which would make Bulma 45, but in both the movie and the DBS retelling of the movie, she claims, while angry over Beerus ruining her birthday party, that she's 38.