we have reviews of the Mandarin
here- you've picked a good one!
Singapore- I tried to get your hotel for when we are going in July but couldn't. It looks good.
Things to see and do in 2 days
Singapore Sling in Raffles( and I can recommend Doc Chengs there for dinner

)
China Town and Little India are musts.
The zoo- either during the day or at night
Bird Park
if you like shopping see if you can squeeze in a couple of hours at least- some great bargains there
Sentosa- bit hit and miss but there are some great things to do there if you have enough time. My opinion anyway- the first time we went we had 3 days and didn't go.
The Battle Box- if you are interested in WW2.
Chaingi prison- we went before it was due to be shifted and it was brilliant but not sure if the shift has happened and if it is still good to see.
I will have missed out things here- thats just off the top of my head