No you don't get the shield bonus from both. It's a shield bonus and two shield bonuses (like most other named bonuses) won't stack.
There is a problem with your concept, and maybe it matters and maybe it doesn't (only you can say).
AC is hard to raise compared to attack value or damage. Some monsters simply WILL hit you regardless of your AC, and the real question is do they hit you with the second/third/fourth attack. Part of this is by design; if AC rose as fast as damage output/to hit, battles could take forever. So you're fighting an uphill battle. You can have a high AC for your level, but by itself it won't be that great, and there'll still be plenty of ways for you to get hit/damaged. (Touch attacks, magic, etc.)
Also, having a high AC never won anyone a battle - doing damage to the bad guy wins battles. That means that while you might be standing, if you sacrifice everything to up your AC, monsters may just ignore you.
AC often comes from expensive gear and magic items. Given that you're going to be level 3, you really will have a hard time distinguishing yourself here. OTOH if this is just a starting point for a long-term effort then that may not be as big a factor.
Depending on your desires, you might want to look at a psychic warrior. They have a TON of tricks to keep themselves alive and many of the early buffs raise AC. Of course the trade-off is a 3/4 BAB.