If you are coming via Singapore on Monday - Saturday there are a few dive shops here and not spread all over Singapore. 3 shops in Lucky Plaza but you have to be careful of their prices. 3 shops in Concourse. The rest are dotted here and there.
Generally you can find what ever you want between these two places that are about 10 to 15 min away by taxi.
To be honest, I understand P2 - protection factor 2 but it means nothing to me. I know there is 0.5 mm, 1 mm, 1.5 mm, 2 mm and 3 mm etc.
Some suits are hybrids where they mix 2mm and 3mm, and I guess that would be between P2 and 3mm.
I was doing 3 to 4 dives a day with average bottom times of 90 min, everyday day night dive for 10 days. I would be hot in my 3 mm. There definately are thermoclines, but short lived cold spells. I would rather be comfortable 80% of dive and just bare with the 20% of short cold spells.
Then again, sometimes I just dive with my trunks and no lycra or vest. Then again perhaps my FAT level is high so I can withstand the cold.
Based on your cold water experience, I think all you need is a 3/2 mm and a hood just in case. Bare used to make these 3/2 type of suits, not sure if they still do. Is Bare Canadian?