If the system supports more memory it could help. Speccy shows 4Gb and a 64Bit OS so if the hardware supports more memory You could do that.
I have not used SSHD drives. I use either regular drives or SSDs. I just upgraded this computer tonight. I went from 4Gb to 8Gb memory and a 1Tb Hard Drive to a 1Tb SSD, In this case a Samsung 840 EVO drive. But it wasn't cheap, I spent more on the upgrade than I did on the computer system. That was my Christmas Gift to me.
That did bump the hard drive Windows rating from 5.9 to 7.8. The increase in performance is much better that that would indicate.
This was my Last Computer without a SSD and now it has one too.
A SSHD will perform between a regular drive and a SSD and be affordable too. Some of the Intel or Samsung hard drives that are smaller are more affordable. The memory rating stayed the same, However memory with Firefox and Thunderbird open as well as the Antimalware is now showing 22% used. Much better