Compressor not engaging

SOURCE: 2003 honda accord air conditioning

replace the black relay between the 2 blue relays in the fuse box. cost about 5 bucks.

SOURCE: Honda CRV 2002 - Clutch

you must still have air in the line. check all lines fittings and your clutch gaskets

SOURCE: I have a 2009 Honda pilot. has a tapping noise when in reverse.

VTM 4 is a traction control system designed for better traction and fuel efficiency. I'd get it back to the dealer ASAP. There seems to be a coil malfunction in the rear axle. I'd make them fully check out the rear axle in addition to checking out the coil sensors themselves. Best of luck to you!
Greg

SOURCE: Noisy Transmission on my 2009 Honda CRV

If you have an automatic transmission, locate and check the transmission fluid dipstick to ensure you have enough fluid.

If manual transmission, usually you can only check it by unscrewing a bolt. (the fluid lasts a long time and shouldn't leak -look for fluid on the bottom of the transmission or under the car..)

I have not worked on these, so I am just guessing.

The noise could also be not in the transmission perhaps..

SOURCE: 2004 honda accord a/c compressor not engaging

it sounds like your AC may be low on gas