Can night and Thermal sights be used to spot mortar fires at night or through smoke?

I'd say no, but I do not have the experience with thermal sights needed to make a good determination. If you know better go ahead and do what's right. I feel all night vision devices are very poor for spotting artillery and mortar fire because there is no depth perception available. Adjusting indirect fire accurately at night is nearly impossible without good illumination and you have them for it.

Do you ignore the normal smoke modifiers when using Thermal sights? Use the mentioned modifier for Point fires and nothing at all for Area targets?

Yes that is correct. Area fires am not modified because if the vehicle can identify the right hex in the smoke and observe its shot well (it can and does with thermals), that's good enough to give full effect to the fire.

How high off the ground are the drop aircraft in Force Eagle's War for purposes of AA fires?

The aircraft are roughly 300 feet or 100 meters. It is a good low jump-where you count to four and impact!

Can only Clear hexes be selected for drops? What happens if a unit drifts off-map or lands on a nonclear hex?

Any hex may be selected for the drop. Units that drift off map are gone forever. Non-clear landing losses are ignored. Good troops will be able to steer their chutes around most obstacles and the resultant loss from landing in a city (etc.) will be limited to a few broken legs and ankles-not counting bruises and the occasional trooper hanging from a church-and will not impact the unit greatly. So, these are ignored.

The hit number for an aircraft is 8. Is this modified by terrain? etc.? Can targets be engaged which are in smoke hexes? Can an aircraft attack multiple point targets in a single hex in one "run?" What is the definition of a run, anyway?

The aircraft hit number is never modified, for terrain or any other reason. Targets in smoke may not be engaged by aircraft-the pilots cannot identify a clear target and are wary to waste their ordinance. (Note that AA fires, however, are allowed to fire out of smoke hexes. Multiple point targets may be engaged in one hex, in a single run, if the aircraft has a multiple capability (hit roll of 8 against four targets ... ) A run is defined as an attack against one hexusing point and/or area fires up to the limit of the aircraft's capability. A plane could engage multiple hexes, with its different capabilities, but would have to be engaged by AA each time as they would be considered separate runs.

How far can an observer be from a mortar or artillery round impact and still observe it?

As far as visibility and LOS allow. 'Mere are no other restrictions. Visibility as determined by the weather or night (whichever is less.)

Do suppressed or paralyzed units go out of Move Mode? When?

Suppressed and Paralyzed units may change to Fire Mode from Move Mode during the Mode Determination Phase. They may never change from Combat to Move Mode.

If two units are adjacent to one another and one is assaulted, does the other unit get to Overwatch Fire? When is this resolved?

Overwatch fire triggers occur when the moving unit finishes moving into a hex. Therefore, overwatch fire would be allowed, but only after the assault combat is resolved assuming the attacker is still in the assault hex when the dust settles!

An overrunning or assaulting unit is running into the target hex on a road. When the combat begins, does the firer (the defender) get to use the "road moving" benefit for the fire-even though it says 'for overwatch only?"

Yes, the road moving modifier is allowed in this circumstance, even though the table is telling you it isn't. The tables were drawn up as they are because I needed a clearcut time when a unit could "absolutely, positively" be identified as moving on the road. Overwatch fit the bill, hence the rule caveat. Unfortunately, there are other instances (the above) where the units are definitely road moving at a given instant. So, the modifier should be used then, also. The problem confronted in design was what to do with units during the Suppressive Fire Phase which just happen to be on a road hex-are (were) they road moving? Are they still? To avoid those types of arguments the above "overwatch" attachment was made to the modifier.