This was an OEM card, and not sold directly by LSI. That doesn't matter from a specification and update standpoint though, as @raulfg3 notes above.
This card was sold by HP. HP's Model number was XP310AA. Here's a link to HP's product specification overview. It may be helpful to you. Its not direct from HP's site (I couldn't find it there), but it is the HP document:
If you're using LSI firmware, version P10 & higher will have no limitation on disk size, so you could use any size you want. I believe the current firmware version is P20.
Your card has individual SATA ports for each disk, so you're limited to 4 disks total. Many other cards with the LSI SAS 2008 chip had "high density" SFF 8087 connectors that could connect to expander cards and increase the number of disks, but that isn't an option here.
You can use SATA or SAS disks. But if you use SAS disks, you'll need to have power and data cables that work with SAS, because the SAS connectors are slightly different.