The Constitution stipulates only that the President-elect take the oath. It doesn’t stipulate who must administer the oath or where it should be administered.
It’s tradition that the Chief Justice administer the oath and that we have a public inauguration ceremony. There’s no legal requirement for such.
LBJ was sworn in on a plane by other than the Chief Justice. The military was sent to South Vietnam on his orders.
So yes, Obama could order additional combat operations regardless of where he took his oath.
Was LBJ alone on the plane when he took the oath, or were there witnesses?
So if Obama said he took the oath all by himself and that he has video of it but won’t show anybody the video, that would be proof enough that he fulfilled the Constitutional obligation to take the specific oath that’s required in order for him to assume the duties and have the powers of the presidency?
If he says he fulfilled the Constitutional requirement then he did, regardless of any evidence that he shows anybody else?
Do you really think that the Constitution would have us blindly trust a politician like that?