Samsung RC730 compatible with SATA3 SSD?

you_change

Prominent
Sep 12, 2017
15
1
510
I have no idea with this kind of stuff and I want to buy an SSD for my Samsung Laptop RC730 SO9.
The SSD has SATA3 and has the same scale as my hdd (currently in the laptop). And I was just wondering if SATA3 is compatible with my laptop.
 

you_change

Prominent
Sep 12, 2017
15
1
510
The reason why I wanna get a ssd or a sshd is because my 6 years old hdd is suddenly extremely slow and one time when windows start up was running a sudden bluescreen came and then it turned off. Ever since the hdd is so slow, the windows start up takes around 5 mins and logging in around 15 mins. And for whatever reason everything is so big and then I always have to higher the resolution. It just happened so sudden. Well I did add a 4 GB ram stick but it is the same model as the old one! 2×4GB 1333mhz = 8Gb ram
Could the new ram stick be the reason? Or the hyperX cloud 2 firmware I installed before it went totally kaput.
I'm really worried that if I try backing all my files up to the new ssd or sshd, that the old hdd dies while backing the files up :(
I need help