CTS or heat realated pain?

Hi, i've been tending to a restaurant in a small town in Colombia for the past 6 months. I've been manning the hot line, mainly the grill and flat top. 

Lately i've been experiencing pain throughout my right hand, sometimes severe pain starting at my thumb and running downwards to my wrist.

Could this be related to constant exposure to the heat from the grill? It's usually three hours straight just cranking out orders. 

Or is it the beginning stages of CTS? I know that there is tingling and numbness related with CTS, but i don't feel any of that. Just straight pain down my thumb and just overall discomfort through out my right hand.

Thank you all!