Its a bit late but found my notes for turns 3 & 4.

Turn 3

SW get the initiative again.

SW: The reaver advances down the River and catches both Rubric 1 and the Predators with its barrage. The infantry escape damage but the turbo lasers finish off 3 predators.

SW: The SW retain with Great Coy 1 and "advance" away from the TS left flank, firing on the Predators as they do. Their shots cause a further 3 kills. This breaks the TS pred formation which falls back with only 2 left.

TS: Rubric 2 summons 2 beasts and 1 flamer, then assaults the wolfguard but the Reaver is in range to support. The SW cause 4 hits and the reaver adds another 3. TS cause 7 hits and 1 MW which kills only 1 terminator. In response the TS loose 2 beasts, horror, flamer & Rhino. Results are 8 V 8, starting a second round.
Second round, SW cause 3 hits and a MW killing another flamer and horror, TS cause 4 hits killing a LR crusader. Round two is won by SW 8 v 6. The remaining Rubric choose to remain in place.

SW: SW pred 1 advance and fire on Rubric 3, who hold their overwatch and loose a dread.

TS: Landraiders and defiler advance and fire on wolfguard causing 4 hits and killing another wolfguard.

SW: SW Landraiders then advance and fire on TS LR formation, only cause a single BM.

TS: The Cult summon 1 beast and assault great Coy 1. TS cause a first strike hit which is saved. They then cause 5 normal hits and 4 MW which kills 3 grey hunters, 2 long fangs and 1 landraider. The SW cause 6 normal hits killing a beast, a flamer, a horror and doing 1 DC to the Greater Daemon. Unfortunately for the TS this is a critical which sends him howling back into the warp. This helps sway things in favor of the SW who win 12 v 11. The cult fall back.

SW: Great Coy 2 advance and fire on Rubric 3, their overwatch kills a razor back but the SW then kill a deceiver in return.

SW: Landspeeders double and fire on Rubric 3 causing a MW and AP hit which kills a TS marine.

END Phase

SW: Rally all units and repair critical damage to reaver.
TS: Preds, silver towers & rubric 2 fail to rally.

Victory conditions are 1:0 to the SW.

So onto Turn 4

SW grab the initiative again.. doh

SW: Reaver advances to the SW objective and fires on the TS Armour formation. 6 hits are sustained by the TS armour holds up, surviving all hits.

SW retain: SW preds advance and fire on Rubric 3 causing 6 hits which kills a deceiver and dreadnought.

TS: The survivors of the Cult and Rubric 1 assault Great Coy 1 causing 1 first strike hit and a normal hit. This kills a single grey hunter and the SW fail to cause a hit in return. TS win the combat 8 v 7 and SW fall back to the Objective on the road.

SW: Landspeeders sustain on Rubric 3 which causes 2 hits but they are saved.

TS: Rubric 3 assaults the speeders, causing 2 hits and a MW which kills 2. Speeders cause 0 but spt fire adds 1 hit which is saved. TS win and speeders fall back.

TS retain: TS armour fires on the wolfguard causing 2x AT and a AP hit which kills a LR crusader and a wolfguard.

SW: SW landraiders fire on the TS raiders but only cause a BM

SW: Great Coy 2 assaults Rubric 3. SW cause 5 hits killing two rubric marines. The TS cause 1 hit and kill a grey hunter in return. SW win combat 11 V 6 and the Rubric chooses to flee.

END Phase
All units rally

Its a blood bath and with the kills in turn 4, victory conditions are now 0 v 0 which leads us to a VP count.
I though the TS were well behind but they end up just ahead at 1630 vs the SWs 1602.

I guess this was to be expected when two mortal enemies battle each other (the SW & TS, not Cal and I). In the end the TS had managed to hold onto elements of their bigger units whilst the SW had lost a number of smaller detachments that helped the TS get ahead just on VPs.

As far as Cal and I care this was a draw and as close as you can get after a 4 turn slug fest. Pics to follow.

The SW dominated early but the resilience of the TS allows them to fight tooth and nail to the end. I think in hindsight I'd look to take more activations and maybe look to drop pod one of the rubric formations then back it up with formations in rhinos. The preds will be better split into two smaller formations.

Pics to follow when I find them.

Hope this helps Dobbsy.

PS:
The Greater Spire was a gift from Luca77, check out his painting blog and I think you'll see some completed.