The valve cover gasket is damaged. Needs to be replace.
Could be the rear engine seal
There SHOULD only be oil inside the valve covers. If they leak coolant you have a serious problem.
Yes
When the engine starts it is cold, as it warms up it builds heat which causes condensation to form. Since heat rises so does the condensation as it tries to excape through the PVC in the valve cover. As the engine cools it has the same effect, the valve covers are thin metal or aluminum they cool quickly but the oil in the pan is hot which causes the condensation to form on the valve covers.
They are gaskets under your valve covers that keep oil from leaking out.
the cap is open
Either the distributor drive or the valve covers.
Remove the oil breather cap on one of the valve covers and pour the oil through the hole in the valve cover.
The ticking sound is coming from the valve lifters. When the oil filter is changed, air is introduced into the system, which causes air bubbles to form in the oil. This causes the valve lifters to "leak down", which is what causes the ticking sound. It can take several days for the bubbles to dissipate. It's annoying, but harmless.
There are multiple locations for which to trace an oil leak. These are the filter mount, cooler hoses, the cooler itself, oil pan and gasket, valve covers and main seal.
It varies depending on the severity. if the damage isn't too bad, it could be piston rings, valve seals, pcv valve, and valve covers. in the worst case it could be a whole engine block, cylinder heads, cams, oil pump, oil pump pickup, valve covers, and pcv valve. generally ive been replacing the block, valve seals, valve covers, pcv valve, and oil pump.
chances are that the oil is coming from the back of one of your valve covers. you could just try checking to see if your valve cover screws are loose, if they are tight you will have to change the gasket. just run your hand behind the heads and you will know right away if that's where your leak is....