Hey, if you're still looking for a monitor, I'd advise you not to get such an expensive one for the Ps4. The Ps4 has a maximum of 60fps + - and that's why it can't send more than 60Hz. So a monitor with 144Hz for a Ps4 is unnecessary. Better get one with 60/75Hz but if you plan to connect a PC in the future then I would recommend at least 120Hz. But ask someone who has more experience.

Yes, this is possible via the HDMI input.