It's easier to tell by HDD size.
ONLY the 60GB original launch model will allow backwards compatibility on PS2 games. However, every model allows BC on PS1 games.
From your model number, I can tell it's a new 80GB model i.e you have no Media card slots and only 2 USB ports.
There MAYBE a future software patch to allow software emulation but this is as yet unconfirmed. Personally, I would keep/buy a PS2 to play any games you want to keep using, they're cheap enough now, £30 tops in the UK.
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