Whats the best of these 2 combat systems for my wargame?

Dear reader

For many many years i am still working on a fantasy wargame. A part of this work is visible here http://joskapaszli.wix.com/thewargame
A unit is represented with a counter that has 2 sides, where one side represent a full unit (2 lifepoints) and when flipped on damage the other side has half life (one life point).
Every first succesfull hit -each combatround- on the unit is absorbed and the second succesfull hit results in turning the counter. In doing this an unit has

BTW hits sustained during shooting and such arent add up. The first shooting hit that arent saved by armoursaves is absorbed by the unit, resulting in a one hex push back. This represents the unit moving slower by taking cover..

Right now i am in doubt of my combat system so far. SOmehow the outcome can give odd results. Heavy cavalry could lose versus archers. Although the odds are small but still.

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Right now i have something like the Warmaster combat system:

1) Hit on 4+ for each attack dice
2) Modify hitvalue and number of atatck dice on modifiers for higher ground and such
3) For each hit the enemy can try to save by rolling equal or under his armourvalue
4) Unsaved hits are wounds where the first and 3rd hit are absorbed that combat turn. The second unsaved hit result in loosing a lifepoint by flipping the counter and every 4th unsaved hit result in removing the counter from the game.

Example
Cavalry (4att, 3def) charges light infantry (2att, 1def)
Cavalry attacks with 4 dice and 2 for a lance = 6 dice
Lets assume it results in 3 hits, where the infantry saves none
The infantry is pushed back, looses lifepoint and is pushed back again...after it must make a routtest.
Immediately the infantry attacks back with 2 dice... in theory it can result in 2 hits where the cavalry can save by rolling 3 or less if it fails the cavalry is pushed back and looses a lifepoint too...
On some throws it may even result in the cavalry not causing any successful wound...
of course this may happen in most combat systems but it made me think....
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Alternative method
For each attack the units compares it att vs the enemies def value. He adds modifiers if applicable and throws only 1d6. If the combined value is 6 or more than the enemy looses a lifepoint and is pushed back. If its less but more than the enemies score in the returning attack than it pushes the enemy back. Only a score between 1+ result in a push back.

Same example
Cavalry (4att, 3def) charges light infantry (2att, 1def)
Cavalry attacks with 1 dice with a +3 (4-1) and +2 (lance) resulting in an autowound of the infantry.
The infantry attacks back... 1d6 + -1 (2-3) could never result in a wound for the cavalry as the score with the 1d6 will never result in a 6 or more.Which means light infantry could never kill heavy cavalry unless it collects bonuses like higher ground flanking and such or by help of other units (support bonusses) or by rule additions like ... if one side throws a 6 and the other throws a 1 than this last side looses a lifepoint....

If it wasnt a charge by the cavalry than it was:
Cavalry attacks with 1 dice with a +3 (4-1), the 1d6+3 must be 6 or higher to result in a wound of the infantry, it looses a lifepoint...

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Advantage of the alternative method is that both sides can roll simultaneously instead of waiting for one side and reroll for armour saves by the other side and vice versa.
I also like it when units of comparable strength need 1-3 rounds of combat to have a clear victor.

Nice thing is it works also good with shooting.
Bowmen with shooting value 2 shoots on heavy cav (def3) must roll a 2 or more to push back the cav one hex but will not be able to make it loose a lifepoint. If 2 units are shooting at the cav than the att value are added up 2+2-3=+1 and still one dice is rolled to check if the total gets to 6+...

How you compare this with your own experience and is there an even better gamesystem out there?

Thanks in advance!