Check the slave cylinder. That's what usually leaks.
There is no clutch adjustment. The clutch is hydralic and therefore needs no adjustment. If the clutch isn't working correctly you most likely have to bleed the clutch line.
most likely the clutch is going. you can try checking to see if there is air in the hydralic lines though, that might take care of it
Most likely the clutch is shot. When the clutch plate can't engage with the transmission there will be slippage between the engine and the drive wheels.
The clutch hydraulics have a problem is the most likely issue Either clutch master cylinder or clutch slave cylinder
The sink is dripping because there is likely a worn-out washer or seal in the faucet that is not sealing properly. To fix it, you can replace the washer or seal in the faucet to stop the dripping.
You should not attempt to replace the clutch yourself unless you have considerable mechanical skills. In this case, the problem is most likely that the spring holding the clutch pedal in place is broken.
sounds like your slave cylinder is bad or your clutch, find your clutch fluid reservoir and see if its full ,if not look for a leak if there is a leak most likely that's the problem and needs replacing.
This is most likely a blade clutch problem. Many times they short and have to be replaced.
The most likely problem is the crank or cam sensor. Dripping coolant could be in the connectors, or possibly one was hit and damaged during installation.
Most likely, the clutch or the clutch pilot bearing is dragging. This is caused by clutch hydraulic leaks not letting the clutch fully disengage or the clutch pressure plate/disc/flywheel is warped. Crawl under the car, (engine off)have a friend push/release pedal, see if slave cylinder throw seems adequate and look for leaks. If throw is short, problem is in the clutch hydraulics; if throw is normal, problem is the clutch.
Could depend on the age of the vehicle, but most likely a problem with your clutch, but it's more likely that it's your transmission, have everything checked out to make sure everything's working properly.
If there is oil dripping out of the bottom of you clutch housing then the seal is leaking and more than likely they damaged the seal during install. Intake valves do not leak oil. I would go to a different shop