Would this desktop be able to play these games?

Definitely! :3

Eh. It's really not very good. The graphics card is an r7 250 which is old. You may be able to run dayz on the lowest settings smoothly. Mine craft you could definitely run but the others i think would struggle allot at anything above the lowest settings. The processor and ram are fine but if you want to be playing gta 5 and battlefield you'll really need to upgrade that graphics card.