For the thrust part : yes, the artificial gravity created in the ship would just be the floor pushing you towards the ship's up. This is why the designs of spaceships with artificial gravity all have a rotating part usually around the axis of the ship. There is a permanent centrifugal acceleration (as long as the rotation exists) in the part that is moving. The artificial gravity would be in this moving part there are some specificities to this type of artificial gravity because of the inertia and momentum in circular motion. There is a great Tom Scott video on this subject I'll try to find it.