I'm not a doctor or anything like that, so I really don't know. I've heard viruses in general can stay alive outside a host for a significant amount of time, long enough for any of the circumstances you described. I wouldn't spend too much time trying to figure out where/how it happened though; that can't change anything! Hopefully you'll get over the sickness quickly, and then you won't even have to think about it!
Is it likely to have touched a door knob that someone touched after sneezing and then touched my nose and transfer or that someone coughed?
How long can ebv survive and be vital in a lip gloss that is not water based and at room temperature? Noone used the gloss in the minutes before me.
From what you've described, it's hard to say. I think there's a decent chance if you were using something someone else had used, but maybe there was something else you're just not thinking of. Also, it's quite possible you could have touched your mouth or eyes after touching something that was infected. Unfortunately viruses can stay alive and be transferred pretty easily. If I remember correctly, EBV/mono has incubation time of around a month; certainly more than a week though.