Q1. Can taxi drivers refuse to pick up passengers with animals?
Yes.
The carriage of animals and birds in a taxi and the terms and conditions under which any animal or bird is carried shall be at the sole discretion of the driver of the taxi: see Regulation 42(1) of the Road Traffic (Public Service Vehicles) Regulations (Cap. 374D).
Any person who is permitted to take any animal or bird on a taxi shall be responsible for and shall pay for any damage caused to the vehicle by the animal or bird: see Regulation 42(2) of the Road Traffic (Public Service Vehicles) Regulations (Cap. 374D).