Neither Obama or anyone else forced LCOL Lakin to take the actions he's taken. As to why he won't show his birth certificate, you would have to ask him. I can't answer for him because I don't know.
Millions of American citizens have asked to see his documents, and its a reasonable request. He chooses to ignore this request because he is not qualified and he has no respect for We the people, our military or our constitution.
That, to me, says that he doesn't give a crap about anything but himself and that he is the most disgusting and poor excuse for a president that this country has ever seen.
What I find interesting is that according to the court martial manual, a court martial can be brought forward by officers at all levels in the chain of command,
§ 822. Art. 22. Who may convene general courtsmartial
(a) General courts-martial may be convened by
(1) the President of the United States;
(2) the Secretary of Defense;
(3) the commanding officer of a unified or specified combatant
command;
(4) the Secretary concerned;
(5) the commanding officer of an Army Group, an Army, an
Army Corps, a division, a separate brigade, or a corresponding
unit of the Army or Marine Corps;
(6) the commander in chief of a fleet; the commanding officer
of a naval station or larger shore activity of the Navy beyond the
United States;
(7) the commanding officer of an air command, an air force,
an air division, or a separate wing of the Air Force or Marine
Corps;
(8) any other commanding officer designated by the Secretary
concerned; or
(9) any other commanding officer in any of the armed forces
when empowered by the President.
(b) If any such commanding officer is an accuser, the court shall
be convened by superior competent authority, and may in any
case be convened by such authority if considered desirable by him.
The president is at the top of that list, which to me, shows that any service member is ultimately subject to a legal President, who should not be immune from a challenge over his authority. The manual also includes a full reproduction of the Constitution of the United States. If Lakin is to uphold his oath, then he has a right and responsibility to take action to resolve the reasonable doubts about his putative CinC’s legitimacy.