I do push ups and planks every day but which is better?? Doing push ups first then plank or plank first then push ups?

This is difficult to answer given the information, and so I would just say this:

You will be able to perform the first exercise at a higher intensity.
The second exercises uses many of the same muscles (not necessarily as prime movers, but as stabilizers).
Yes, absolutely you should do pull ups (all else being equal); any large muscle group exercise, such as squats, deadlifts, pull ups are going to be good ‘general’ options.