Another option for a compass is a removable metal clip for a pen or mechanical pencil. You could magnetize it and then balance it on the pencil tip or hang it from a thread. The pencil I'm using now has a removable clip with holes in it you can tie a thread around. I have to point out this isn't an original idea, its borrowed from WWII escape equipment.

Also the Stanley pocket knife blade I mentioned is sturdy enough to use the back end as a flat head screw driver. Not super tough, but enough for unscrewing outlet plates or similar tasks. Drop it under the paper in an Altoids tin full of mints and even an x-ray shouldn't pick it up.

For a flashlight, ultra concealable, just a red led and a button battery will work. Not very robust, not very bright (that maybe a plus) but very conceallable. Sealing the two parts between pieces of tape will prevent water damage before you need them.

A map of the area would be very helpful, but might be hard to conceal, and you don't know at what point in the trip you might need it. Simple large scale maps silk screened on to regular handkercheifs might work. Roads, railroads, towns and other big features. Then fold up and put in your pocket. On the other hand, if they go through the clothes in your luggage and find one it would be almost impossible to explain way. I can already hear them shouting, "SPY!!".