1. do you mean from Hong Kong Airport to the hotel? This hotel is located at the Exit C1 of the metro's Jordan Station. So, the fastest way should be taking the Airport Express train to get to Kowloon station firstly. Just right here, you could take the free bus K1 to the Jordan Station directly. Or, you could hire a cab driving there quickly.
2. Lady Market is free for visiting. You could take the metro to Mong Kok and then walk to the street easily. For the Ocean Park, please take the metro to Admiralty sttaion and then at the Exit B take the bus 629 to the park directly. Here is the official webiste: http://www.oceanpark.cn/html/en/home/