The Mintek seem to be well on their way to sweeping up the Bedu. The Bedu maps they must already have from their converts on the planets they have been preaching to so there was actually no point in the Bedu trying to be secretive.
Good thing for the Mintek the Bedu never thought to probe the new contact with a squadron or three of F1s! That was a sneaky trick. The RM have pod rolling SDs to do that as well...or to lock the pods up with a tractor and fire them 6 at a time. The SDs have to have their DF down admittedly to set up for the next salvo but can also hang back and 3 of them can launch 18 pods per turn at the enemy fleet.. The Bedu may have been better off with a circle the wagons formation where their ships move in a circle...but yeah you are looped pretty much in the situation they were in. I'm a bit surprised the carriers survived the missile pods. 25 pods per carrier should have reduced them to floating chunks of metal...but the exact to hit chance the missiles end up with is likely the biggest determinant. With a 6 to hit (-2 EM) only 45 hit, half are EDMed so 23 and 14 or so are shot down by PD leaving 9*4 = 36 damage...one reason the LT2 is so attractive! (75*0.5 = 32, 16*.6 = 10 so 22 * 2 = 44 damage and skipping shields) Also if the carriers had had dedicated escorts they would have also fared much better even more so as they would not have been targeted themselves.
The new EM rules also mean that if the carriers had gone full defensive they would likely have had -4 or -5 to hit and they may have gotten out of the pod attack with only shield and armour damage.
As far as the DSB-Xr goes I think leaving it at 1 System hex for quantity simplifies play on the system scale.
Added in the edit:
Looking at the ships in better detail and running the numbers if the CVs had gone full defensive they would have had a -5 and on average 1-2 missile hits. So they would have escaped unscathed. But it likely would not have changed the battle results as the Mintek had more fighters so they could have destroyed the defending fighters and then come back and picked the ships apart in multiple strikes.
I also spotted fM-a in a list ... following the rules fighter missiles can't mount anti-matter warheads only advanced anti-matter and starting with the fM2 the LT2 warhead. This will save the Mintek some MCr.
Just for similarity to the Mintek here is the RM CV(A) design (sorry it is TL10 the TL9 ones got deleted when reducing the database):
CV(A) SAETTA U2 class CV AM2 17 XOa Racks 85 Hull TL 10
[1]S1x12Acx24H(BbM)Q(BbM)(III)(II)Vx6BcVx6PgQPgDx(III)Vx6BcVx6DxQWaXrQM4MgBcMgC(II)LhQZi?3Dc(III)(II)[6]
85 RCP 65 MCP 24 FCP Trg:5 Bmp +6 Cost = 2575/ 386.2
HTK 100 S1x12 Acx24 Dxx2 Dcx1 Pgx2 Wax1 Vx24 Mgx2
20x SM2-b, 40x SM2 LT2, 12x CAM2, 9x EDM2, 20x AFM2, 72x fG, 72x fR, 144x fR-b, 72x fL, 432x fM2 LT2, 72x fLs, 12x fXr, 3x ADM (Mg)
and their real assault carriers at their current tech level as well:
CVB TAIFUN U1 class CVB AM2 20 XOa Racks 100 Hull TL 11
[1]S1x30Acx6AlAcx6AlAcx15H(BbM)H(BbM)Q(III)(III)Vx6BcVx6BcQPg2(III)Vx6BcVx6M4QWaXr?kC(III)DxzLhQ?j?3Dxz(III)MgZ2Mg(III)[6]
100 RCP 24 FCP Trg:5 Bmp +6 Cloak Cost = 3450/ 517.5
HTK 126 S1x30 Alx2 Acx27 Dxzx2 Pg2x1 Wax1 Vx24 Mgx2
20x SM2-b, 40x SM2 LT2, 18x CAM2, 12x EDM2, 20x AFM2, 72x fG, 72x fR, 144x fR-b, 72x fL, 504x fM2 LT2, 72x fLs, 12x fXr