Just an FYI, here are the recommended specs for a Windows PC for Remote Play (pretty mild, for the most part):
Windows® 8.1 (32-bit or 64-bit) or Windows® 10 (32-bit or 64-bit)
Intel Core i5-560M Processor 2.67 GHz or faster
100 MB or more of available storage
2 GB or more of RAM
1024 x 768 or higher display resolution
You also need to make sure that you (1) have updated your PS4 firmware to v3.50, and (2) enable remote play in your PS4 settings.
Push Square has a good guide:
"From the main menu screen, push up and scroll to 'Settings' on the top layer of the user interface. Scroll down the big list that appears and select 'Remote Play Connection Settings'. Then tick the checkbox that says 'Enable Remote Play'.
You may also want to ensure that the PS4 is your primary system. Again, from the Settings menu, select 'PlayStation Network Account Management', then 'Activate As Your Primary PS4 Account', then 'Activate'.