Damnyouall on 01 November 2009
You can re-download any game you bought as often as you like, but you can only have it on 5 active PS3s at a time (you can activate or deactivate a console on PSN). Since your old PS3 died and you obviously can't deactivate it yourself, you can have it done by Sony (call them); I think all you need is your serial number and maybe your PSN username. In case you decide not to have it repaired you should really do this so the games installed on it won't count towards the limit.
About the HDD: Once a PS3 hdd is installed, it gets locked to the system using a unique encryption. If you remove a hdd from one PS3 and install it in another, you won't be able to access the contents; instead the PS3 will ask you if you want to format it.
"Well certainly with the Xbox 360, we had some challenges at the launch. Once we identified that we took control of it. We wanted to do it right by our customers. Our customers are very important to us." -Larry "Major Nelson" Hryb (10/2013). Note: RRoD was fixed with the Jasper-revision 3 years after the launch of 360
"People don't pay attention to a lot of the details."-Yusuf Mehdi explaining why Xbone DRM scheme would succeed
"Fortunately we have a product for people who aren't able to get some form of connectivity; it's called Xbox 360,”-Don Mattrick
"The region locking of the 3DS wasn't done for profits on games"-MDMAlliance