H1b lottery apply and travel to home country

[kaqmm 0]

I  need to know about certain immigration related issues like while on f-1 visa and having an employer ready and who filed application for me on the basis of my home country graduation degree for H1B lottery 2023-2024 ,can I travel home country from march 12,2023 to July 12,2023 having early authorization withdrawal (semester freeze that can be restored prior my coming as per my DSO).
If I travel this way and in the meantime I got my name in Lottery then my employer will file petition with USCIS , and when I return back in april 2023 or July 2023 on my f-1 visa,
1. Would there be any problem on port of entry (immigration)
2. Can they ask me like I'm on f-1 status and just 9 credit hours done how you can apply for H1B and since applied so go back and come on h1b visa then and if applied and data is with USCIS, would DHS will allow me to enter United States or not ?
Thanks a lot 
Your advice matters a lot as my wife delivery( C-section as it's our 3rd baby) is due in April and I want to go and take care of her in her crucial time 
Once again thanks a lot