Check the PCV diaphragm by putting a 1/8" tubing on the PCV cover nipple and pull a vacuum by sucking on it or a vacuum pump. If it does not hold vacuum then it is bad. Otherwise a check valve inside the valve cover could be bad like I found on my 2009 328I valve cover. Then change out the whole valve cover. That is what ended up fixing my similar oil consumption problem. Now my estimated oil consumption is about 1 quart in 12,000 miles.

I have had this on my daughter's 2009 328I. Its is either the PCV diaphragm on top of the valve cover or one of the two checks inside the valve cover has failed. Oily vapors from inside the valve cover is being sucked into the intake manifold. You can check the PCV diaphragm by putting a 1/8" tubing on the PCV cover nipple and suck a vacuum on it. If it does not hold a vacuum then it is bad. If it does then it is a bad check valve inside the cover. Her 328I had both of these things happen. First successfully replaced the PCV diaphragm which was bad. But that did not solve the problem, so I replaced the whole valve cover. That solved the problem totally. One of the check valves inside the cover was broken by a PO probably changing the valve cover gasket, it had been siliconed back on and fell off when I removed the cover!! Just go ahead and replace the whole valve cover to be sure.

John, I guess you are trying to get the alarm system to work. Do you know for sure that you even have the alarm installed? Being an 2008 pre-LCI I believe you have the prs-wiring for an alarm but I understand that the alarm was a dealer installed item ordered when new. Check under the hood for the hood switch on the lower cabin air tray. Then start trouble shooting why the alarm is not arming if you have an alarm installed.