Are you talking about Ren Min Hotel, the one on Queen's Road West in Sheung Wan?

If so, your five problems can be solved by one line: you walk along the mountain road for 3 minutes, take the tram (called "Jingle" train in Hong Kong) and get on the train at shek tong tsui Station. If you want to take the subway, you can get off at Sheung Wan subway station (get off and transfer to the subway), or get off at Central Station (World Tower Station) (transfer to the subway). If you want to go to Admiralty subway station, you can also get off at Admiralty station (transfer to the subway). To go to Taiping Mountain, you can take a tram to get off at the Bank of China Building, then walk along Garden Road for 5 minutes, and then take the cable car to the peak of Taiping Mountain at the cable car terminal. To Zijin Square, you can take the tram to "Wan Chai Subway Station" and then walk along the footbridge to Zijin Square (it takes about 15 minutes to walk). It is more convenient to take a bus to Admiralty Bus Terminal and transfer to Ocean Park.

I suggest a tram because it is cheap (HK$ 2 for the whole journey), convenient and free from traffic jams. If you are willing to take a bus, you can take many buses near the tram stop, all of which can go to Central, Admiralty and Wan Chai, such as No.1 bus, No.5 bus (including 5B and 5X) and so on. You can look at the bus signs to find your destination, or ask other passengers waiting for the bus to explain (in Mandarin) your destination, and they will guide you enthusiastically. Of course, the bus fare will be a little more expensive, generally 3.4 Hong Kong dollars, and the extra is 5.6 Hong Kong dollars. The price can be seen from the bus sign (of course, it is not easy to read if you are not familiar with the bus route).

In addition, I would like to give you some directions so that you won't get lost by car: you live on the west side of Hong Kong Island, and then go from west to east, followed by Sheung Wan, Central, Admiralty and Wan Chai. Ocean Park is in the south of Hong Kong Island, and it needs to pass through the Aberdeen (Mountain) Tunnel. The public transportation in Hong Kong is very convenient, but there is no subway in Ocean Park. There is no subway near your hotel.