Would this specifications run Overwatch and Battlefield 1 and how well? No need for ultra settings

[Furai_]

-CPU Intel Core i5 7400 1151 3.0-3.5GHz
-MB Gigabyte GA B150 HD3 1151
-GPU PNY GeForce GTX 1050 4GB DDR5
-RAM Corsair DDR4 8GB 2133MHz
-PSU EVGA 500W 80Plus Bronze

Do you think I would need a CPU cooler?
Thanks for your comments!

 

[Aeacus]

Overwatch,
results: http://www.game-debate.com/games/index.php?g_id=20810&game=Overwatch&popSysReqRAM=8&p_make=Intel&p_deriv=Core+i5-7400+3.0GHz&gc_make=Nvidia&gc_deriv=GeForce+GTX+1050+Ti+PNY+4GB&ram=8&checkSubmit=#systemrequirements

Battlefield 1,
results: http://www.game-debate.com/games/index.php?g_id=9002&game=Battlefield+1&p_make=Intel&p_deriv=Core+i5-7400+3.0GHz&gc_make=Nvidia&gc_deriv=GeForce+GTX+1050+Ti+PNY+4GB&ram=8&checkSubmit=#systemrequirements

Your Intel's stock CPU cooler is more than enough.