Clicking noise when turning right?

Check the backing plate possible bend from removing or installing jack up wheel ( put blocks at rear tires ) put in neutral and rotate tire looking and listening if problem trying io locate remove tire and do same also inspect the brake pad clips --- c/v axle will click if all the grease was missing from a damaged boot would usually get a vibration as well

You either left the torque converter bolts loose or the flex plate (flywheel) is Cracked, Usually around crankshaft flange. You can check the bolts without removing the engine, but the flex plate will require engine removal. Look in inspection opening while engine is running and check for run out (rotational wobble) of flex plate. This condition will cause extensive damage to torque converter and front pump seal in the transmission.

Three most likely causes are: #1 You forgot to tighten up all the torque converter to flex plate nuts/bolts. #2 You cracked the flex plate during the transmission change. #3 You forgot to swap one or both of the alignment dowels from the old transmission to the new one during the change. These are hollow dowel pins. They go between the bell housing of the transmission and the engine block. Failure to have both dowels in place will lead to the flex plate cracking [see #2]

Have the cv joints and shafts check for bends as they may be locking up when turning. Minor bumps can do hidden damage that is not noticeable on first inspection. It may be the flex plate which would indicate gear box misalignment or cracked housing.

If the car is an automatic, it will have a thin metal flex plate, rather than a regular flywheel. If the flexplate gets a crack in it, it would cause a bit of noise. See if there is an inspection plate on bottom front of transaxle. Remove the inspection cover to look at the flex plate. Turn the engine over to view the flexplate all around. Look for cracks, maybe a loose or missing mounting nut where torque converter mounts on flex plate. If you see nothing, leave the inspection cover off, and run the engine and listen closely for a problem from that area.
Leaking oil, eh? Don't know if related, but while looking at the flexplate, check if motor oil is leaking out the rear main crankshaft seal. It will be fitted to the rear engine block, in front of the flex plate. Oil would be dripping off the rear of engine, or maybe collecting at bottom of bell housing, evident when inspection cover is removed.

The flex plate may be cracked and this is causing it to hit the starter drive or other point inside the bell housing. Remove the transmission and replace the flex plate is the likely fix. Have a shop confrinm this guess of mine.

Noises are very hard to diagnose without actually hearing it. If it sounds like it is coming from around the tranny you may have a cracked flex plate. The flex plate is bolted onto the end of the crankshaft and is between the engine and transmission. It connects the crankshaft to the torque converter of the transmission. It also has a gear around it that the starter uses to turn the engine over. Have you noticed the starter sounding different when you start your car. A cracked flex plate will cause that or you may have a faulty starter causing your sound. Flex plates get cracks around the bolts that hold it to the crankshaft and can make a clicking noise. You may be able to remove the cover off of the bottom of the bell housing of the transmission and inspect it. Look for cracks or rust trails which is evidence of a crack. Not sure if you will be able to see far enough up in there or not. Rotate the engine around a little so you can get a look all of the way around it. It could be an engine or valve train noise also. Noises can ressonate through other components and make it hard to pinpoint. You may need to get some kind of stethoscope to help locate it.

The inspection cover is usually plastic, it is bolted to the under-side of the bell-housing and it is held in place usually by 4 small bolts, and once you remove them the inspection cover should come out. (you might also have to remove the starter on some applications)

After you have removed the inspection cover most of the flex-plate and the torque converter will be exposed. Turn the engine over and use a good light to inspect for damage to the flex-plate, and also check to see if the torque converter to flex-plate bolts are tight when they revolve into a position where you can attach a good ratchet.

bend it away from the drum,or rotor

front drive shafts need replacing