Well always being around you 24/7 generally can create separation anxiety when apart at any given time, though i have trained dogs in the past where this never created an issue. Each individual dog will vary though typically this is a factor.
The reaction is also different, what you described i typically find more common out of bored dogs vs separation or a little a both.. Not to say that this can't happen but usually separation anxiety is consistent with whining, barking, shaking, pacing and other "nervous" type behavior... Again this is my experience, not always the case.
I would recommend anytime you leave her alone using a crate in a positive manor, keeps your thing safe as well as her. A crate she be a positive experience vs negative and also it should be "her" place.
As for the jumping on people, i would keep a lead on her as a correction tool during training her to stop doing this. Of course, praising her for not jumping vs giving attention during.. You dont want to send mixed signals. Also, generally speaking if you allow her to jump on you during greeting it will be much harder for her to distinguish who is okay and who isn't. Its best if you decide one or the other, its not impossible but you would be creating more work for yourself training her out of the habit.
Licking is a dogs way of affection so this is up to you, it can be difficult to want her to stop doing this as much as you want your dog to be affectionate yet at the same time you dont want it to bother your guest. Teaching other commands such as sit, stay, leave it, ignore, etc can help by diverting her attention back to you as the handler vs fixated on licking your guests.
Also i may point out that there is no such thing as a "blue nose pit", there is only one type of "pit" in terms of breed and thats the American Pit Bull Terrier. Blue in this particular breed is extremely rare as throughout history it was culled due to various reasons. Many old timers did not consider "blue" to be a color of a Bulldog. Blue is common in the American Bully and fairly common in the American Staffordshire Terrier, often BYB's will mislabel, mis-register these dogs as "rare pit bulls" to draw in business from the inexperienced.
Do not get me wrong as i am not trying to talk down on your pup by any means however the likely hood of you having a "blue" APBT is very unlikely as you properly have one of the mentioned breeds or a mix of some sorts if you do not know her history.