Not sure where which air hose must be connected Photo will help

Buy a haynes book at parts or online repairmanuals

this diagram looks like the idle air control valve ( or Known as the 'I.A.C.") coolant supply and return hoses . or Bypass hoses. pending on who interpreted the diagram. but diagram resembles an older setup versus 2006 hose routing should be more towards throttle body intake. how this works is coolant temperature controls Idle. if valve is stuck you could have an erratic idle like fluctuating from high to low. if you can submit actual photo of engine i could be more specific .

Good Morning. Here is step by step along with a photo. I hope this helps! Best of Luck.

1. Install the valve covers and tighten the bolts in sequence to 43 inch lbs. (5 Nm).
2. Install the valve covers.
3. Install the ignition coils.
4. Install the cables from the spark plugs.
5. Install the intake manifold.
6. Install the vacuum hose, fuel hose and coolant hose.
7. Install the breather hose and air-intake hose.
8. Connect the upper radiator hose.
9. Connect the negative battery cable.
10. Fill the cooling system.

Photo ?

Car is burning incorrect fuel air mixture. Burning to much fuel. Reconnect vacum hose and problem should be solved

No, because the incoming air to the engine has been measured by the mass air flow sensor in the big hose from air cleaner to the throttle body. If the air hoses are not sealed tight, extra air not measured by the sensor will make it run poorly.

Hello. Here a non-photo diagram. Hope this helps!!!

The thermostat is located on the side of the water pump, the water pump is located just above the a/c compressor, the thermostat is fed coolant from the radiators lower radiator hose.
Thermostat :
1. drain coolant and tighten drain plug ( easier method : remove radiator cap, get big drain pan, place drain pan under lower radiator hose to radiator connection, remove clamp, slowly remove hose, allow coolant to drain into pan, now is a good time to remove radiator hose and clamp from thermostat housing )
2. remove thermostat cover / cap ( easiest to get at this when front of car is supported by jack stands and right hand side lower cover is removed ).
3. thermostat cap is held on by 3 bolts / remove thermostat.

You will notice that the thermostat's air bleed hole is pointing up and lines up with notch in water pump housing,,

ATTENTION :failure to install new thermostat in the correct location will cause engine to overheat.

1. install new thermostat to water pump, make sure air bleed hole lines up with notch, install and tighten bolts, install a new lower radiator hose, fill cooling system.

thermostat # 17670-77E00
lower radiator hose #17854-65G20
hose clamp #09401-36403
upper radiator hose # 17852-65G20

Suzuki factory manual

Check all vacuum hoses for dry rot and/or cracks. Replace any faulty ones. Make sure all vacuum hoses are connected to something, if one has come loose, reconnect it. Check the EGR valve. Check the IAC valve and check the mass air flow sensor and its circuit(make sure it is plugged in). Hope this helps you out.

not sure but this may help figure #10 has a view for hose connections if im understanding
you correctly let me no
http://www.autozone.com/autozone/repairinfo/repairguide/repairGuideContent.jsp?pageId=0900c15280076268

First look along air intake tubes, be sure no sensors were unplugged or pulled out of place. Lean codes are usually air mix related. i.e. mass air flow or air temp sensor. also look over all plastic vacuum tubes, be sure none are broken. listen for a hissing sound.