06BirHakeim:
A very nice and very pleasant scenario. 
So, let’s start with some feedback, shall we?
First, you asked whether this secondary module is feasible? The answer is: Perfectly, yes, all patrols located at the 16th turn, 6 of them exited and enough points earned…
As GabeKnight, I think that this scenario is right now (more) on the easy side. So, yes, the player has a chance to win this scenario by lasting 32 turns without losing the HQ hexes.
Excellent, the option to keep or not our Lysander airborne…
well, having already read few comments of mine, I think it’s rather obvious that… I’ve kept them flying!
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Thoughts about the
awesome Free French “fully dug-in module”:
1. It’s really great as it depicts an important part/aspect of the historical battle.
2. I thought at first that maybe reducing it a little may be cool, to increase the challenge? (To 8 instead of 10, perhaps?) But the OoB mechanic tells us that an unit that hasn’t moved dugs-in more… So, if an unit starts let’s say at 8, doesn’t move, it should increase entrenchment. But then to be pushed back at 8 again just at the next turn… Perhaps that won’t be noticed by the player, but that will be rather strange, or even weird, anyway… So better not changing this!
3. It’s only rather strange to notice once our units have been sent outside of the fortifications to chase some enemy down… the entrenchment should apply (roughly) inside and at the borders of the defensive perimeter, and there only!
=> Conclusion of my brainstorming about this aspect: It’s
excellent (so leave it at 10!), but
simply add one condition in the triggers: being inside the defensive perimeter, so max at XYZ hexes away from some central hex, or something!
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Another important element:
Let’s begin slowly, shall we?
At turn 7, we’ve some planes spawning in the North – that’s great!
Then, I think directly: let’s add a (very short) event warning the player about this…
indeed, it’s not anecdotal and, furthermore, as we’re at that time only facing the Italians, many of our land units are just waiting for now, well dug-in… which means that we may have (and not consider) the usual warning “units haven’t moved” and, if not paying attention, it would thus be easy to waste, or to skip, one turn for our planes…
But then I’ve told me… “Wait a little, there is much more on that… it reminds me something… hmmm…”
Yes, it’s time to involve some famous Free French unit as well:
One
Free French unit called “
Groupe de chasse Alsace” or "
Groupe Alsace" and using some
Hurricanes! (At that time, yes!)
No more units you’ve written. No worries, simply replace one British Hurricane unit spawning at turn 7 by this one; that’ll do the trick!
The French wiki webpage tells us that: “
The pilots then carried out defense missions over the Palestine Mandate. At the beginning of 1942, the group was equipped with Hurricanes and increased in power. It distinguished itself during the battle of Bir Hakeim and then in the defense of Alexandria. In September 1942, it was decided that the Alsace hunting group would be sent to Great Britain to serve on the Western Front.” (Here:
https://fr.wikipedia.org/wiki/Groupe_de_chasse_Alsace whereas the English version on this same webpage is much less precise concerning this period, since it is simply zapped!)
So, here’s what I suggest about this:
1.
Turn 7, replace one British Hurricane unit by a Free French Hurricane unit called “Groupe de chasse Alsace”, or perhaps (shorter version) “Groupe Alsace”. (Well, you’ve already got this.)
2. Of course, take into account the
campaign variable about Free French XP for aircraft units…
3. Add then an
event relatively briefly talking about this famous group… (This would now be required and, like this, no longer any possibility not seeing our planes!)
4. Add
another secondary objective (
together with a “New objective added!” within the corresponding event), something like: “
Deal at least XYZ damages to enemy planes” with some description like “
Make the Free French pilots distinguish themselves, and of course survive this battle, to have more experienced Free French pilots in all the future battles.” (
Which means going to the next step of this campaign variable, as you planned it at the start… Now’s the time to use it! And in this scenario we’ve still some room for adding objectives, so, well, seems like an idea.
)
5.
Possibility to put a total of 2 or 3 Free French planes (
considering the total amount of planes over this battlefield – see next comment!)… one appearing with each one of the two or three first waves of our planes?
(Another source? Fine, here it is, together with a picture:
https://www.france-libre.net/groupe-alsace/ )
=>
We’re focusing on the Free French, so here’s a golden opportunity! 
A picture of an enemy plane at Bir Hakeim? Here is one:
https://www.google.ch/imgres?imgurl=htt ... egUIARCaAQ
It has been a Stuka... before...
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If I’m not mistaken, now we’ll have a total of 30 planes (helped by 4 AA units) against 26 enemy planes… there’ll be some good action in the skies but, as GabeKnight suggested, I think that you can safely
remove the two last waves of our aerial reinforcement.
And I suggest
adding a last wave of Italian planes and a last wave of German planes as well…
)
But now, there are some questions:
'Could we do something about this?
, but here are already few suggestions, as you've written you're about to change a little OLD relatively soon: 
