use of 'as well as'

  1. As well as singing well, I act in the drama.
  2. As well as I sing, I act in the drama.
  3. I sing as well as I act in drama.
  4. I sing as well as act in drama.
    Please check and correct.
  1. is okay.

  2. is incorrect

  3. The second ā€˜Iā€™ is dropped and assumed, as in 4.

Beeesneees,

  1. She sings as well as writing plays.
  2. She sings as well as writes play.
    are they correct?

Yes, though the first sounds a little more awekward, so the second would be a better phrase to use.

Strictly the first should be something like:
She engages in singing, as well as writing plays.