Travel outside USA with new H1B approved - before Oct 1

USA F1, F2 Visas - CPT - OPT
1

Hi All,

My H1 got approved. Now I am on OPT STEM extension which expires June 2016. I want to travel outside USA during Sep and return back by Sep end after getting my H1 stamping done.

  1. Can I return back to USA by Sep 29th with a valid H1 stamp? After I come back, will I be on H1 or F1(OPT STEM)? Will I be able to work from the time I return till Oct 1 after the stamping?
    Thanks in advance.