H1 (more than 10 years+approved i140) to H4(EAD) to H1b

I was on H1 for more than 10 years with approved I140 and now I am on H4 and working on EAD.
can my employer apply for h1b now? am i need to go through lottery?

Here is the complete guide for H1B to H4 to H1B again.

@Anil_Gupta thanks for your reply,
I read this but it did not include the answer of my specific question above.
can you please help out?

got an answer. no need to worry as i 140 is there