If your character has a slightly shady background, it's a good idea to develop a fleshed out alias of some sort. Give yourself a different name, and a different social background, and possibly a fictional job and family. Keep the details handy, so you can switch into that alias instantly whenever desired. If you have the capability to forge identity documents of some sort, try and do that as well.

Having all of this prepared and ready to go in a split second can get you out of a lot of tricky situations.

And into a lot of them too, but that's half the fun, isn't it?

Transcript

Han: All right, let's blow this thing! Fire!!
[SFX]: Roll
Han: Oh. 1.
R2-D2: The Coriolis force is different in that hemisphere! Roll left handed!
GM: The button you press activates the radio.
Major Hewex: Yes?
Han: Uh... It'sa me, Greedo! I gotta you pizza here!
{beat}
[SFX]: Roll
Major Hewex: Did someone order pizza?
Imperial Trooper 1: Not me.
Imperial Trooper 2: Must have been Lieutenant Renz. He said he was, uh, "going to the practice dummy to optimise his rotation".
Major Hewex: Okay, fine. How many did he order, anyway?
Han: Uh... I gotta as many as... however many of-a you is inna there! Come and get 'em!
Imperial Troopers: Yay! Pizza!!