Is it correct for explaining my future schedules?
(1)I'm working at office this evening.(2)I'm studying my English tomorrow.(3)I'm going to ballet recital of my friend's child on Sunday.(4)I'm inviting my brother for dinner on Sunday night.

Question

Answer

Yes. One can use the present participle to express the future that way.  Only your articles are a little off.

I'm working at the office this evening.
I'm going to a/the ballet recital...