"should i spray air in the hdmi port of the tv and laptop or no need?"

You can, yes. Only you will know if it is dusty.

"but if the port was damaged then i would have noticed bad side effects like discoloration, artifacts, bad resolution".
The damage maybe slight, like a small crack in the plastic, and in the contacts that are not being used, or the metal surround may get slightly bent. You may get an intermittent connection and/or some image effects.
Flexing of the HDMI socket can affect the connection to the MOBO in the Laptop.