HDD too hot "Dell LATITUDE E5430"

Hi,
I clearly have a problem here and I'd love some advise to know if I am doing the right think, this is how my HDD look like after it is been under pressure for a bit, anyway it is enough I turn on my laptop to get to 50 Celsius, so I was planning to upgrade to a Crucial SSD 500GB.
So now I would like to know if this is going to solve my problem or you think there might be something else that is harming the laptop and take temperature so high...
Changing the thermal paste along with the SDD upgrade would help??

Thanks in advance everyone