Yes, just make sure you have the correct media.
No, you must have a BLU RAY burner
no
Yes. All burners are "backward compatible", which means they will also burn older, less dense media.
All Blu-Ray players can play DVDs
Yes, Blu-Ray players can play regular DVDs.
No. You can play regular DVDs with a blu-ray player.
yes you can i own them in regular DVDs
No the PS3 does not record except on the harddrive
No, it depends on the drive's capability to burn CDs, DVDs, DVD-DL, Blu-Ray, HD-DVD and much more. Check the front of the drive and it'll typically have symbols for what it can burn or Google the specs for your drive and find out what it can burn.
No, but regular DVDs can be read on a Blu-ray player.
No
Yes, it does