You could have collapsed motor mounts and they will make you feel every hickup in the engine that is normally insulated by the mounts taking all the shock.
You may also need a tune up as well.
How many miles are on it and do you have service records.

You can test the motor mounts by putting your hand on the front corner of the valve cover and push hard on the motor to see if it has any bounce to it,If it feel tight with no bounce, chances are the mounts are shot.
Also bad mounts may give you some engine rattle or rubbing ,humming noise on hard acceleration.
Also if you feel a jolt in your seat when you first start the car.

The ticking noise and rough idle could be a dead miss from a bad coil or spark plug or supressor end at the end of the coil that connects to the spark plug.

I can tell you how to diagnose that if you want to call me, or I can send you a pm.

The oiler tubes could be an issue still.