Umm... WHAT?
Let me recap here, because Im not sure if I understand
Two players called the BB, the SB folded, the BB checks.
BB checks, limper 1 checks and limper 2 bets
BB calls, limper 1 calls
and you're asking if the original bettor (limper 2) can raise his own bet?
Either Im understanding the question wrong or This can't be a serious question... and the bold... uh.....
and he absolutely can not RERAISE, because no one has raised. If someone has raised he absolutely can reraise