Firmware and drivers upgrade for HP Smart Array E200i controller

You can download bootable CDs from the HP website (look on the 'downloads' page for your server model) that will allow you to run diagnostics tools as well as update the firmware on all devices in your server. Start by running the array diagnostics utility and see what it reports.

This will depend on your backplane connections and whether you can find the right parts. You can use the P410 in an older server, but you'll need to change SAS cables to match the specific backplane connections. G5 systems usually used internal SAS SFF-8484 connectors to mate the Smart Array P400 to their backplane.

I've confirmed that your DL180 G5 8-bay backplane has 2 x SAS SFF-8484 ports. The SmartArray P410 has two SAS SFF-8087 ports.

You will need a SAS SFF-8087 -> SFF 8484 cable to make this work.

For that generation of server and your use-case, though, I'd just use a new-old-stock or used P400 controller. You won't gain anything performance-wise using a P410, especially given the low drive count, the fact that the disks are probably 3G SATA and the age of the system (G5's were end-of-life in 2009-ish).