Grinding noise from passenger side engine

Clear fluid leaking on that side suggests it is drainage from the air conditioner. None of the fluids in a car are normally clear.
UNLESS you have a serious antifreeze leak and you have topped it off with clear water.

The strange noise is most likely not related to the water leak unless you have used clear water in the cooling system.

It is too hard to diagnose that noise over the internet. It will need to be examined by someone who has good knowledge of cars.
Good luck with this. Those Neons are usually not too difficult to work on and and treated right, they can run for many years.

Wow, that's a weird one. Run flat tires?

Wheel bearings

I would need to know what vehicle this is? 4 Cylinder. V6? 3.0? There are a few things it could be,

If the Engine is Moving, it could be hitting something so I would check the Motor Mounts (Happens quite Frequently on Taurus)

Check the Tension of your Serpentine Belt

Does is sound like a loud humming / buzzing sound ? If so it could be the bearing.

Can you describe the sound in more detail? Is it constant ? Does it change if the car is turning to the left or right ?

will try to assist you. did you have your clutch replaced professionally? if it's a popping or cracking sound when accelerating or turning, it's most likely a c.v. axle going bad. either on driver or passenger side in the front of the car right?if it is a bad c.v. axle it will pop and crack when you turn wheel from left to right at low r.p.m. if not this,you may have brake issues. either it's a grinding sound while accelerating or decellerating,as long as cars in motion the noise will persist.try tapping your brakes while in a parking lot in slow gear,hear something from driver front,have a passenger with the widow down on passenger side, hear it from front passenger side? the thing i go by is what i hear when i test drive to diagnose an issue with a vehicle is,axles?popping and cracking when turning the steering wheel from left to right at low speed. [axle problem] grinding,scraping sound? brake issues! hope this helps and thank you for choosing fixya.com and we are here for you 24/7 7days per week thank you!!!!

if any thing the calipers could be sticking but the ratcheting noise in reverse is normal

I'd say there's no grease left in the CV joint boots, if it's front wheel drive. Something you should check right away, as your car has about reached that age, and if you run it without grease in the boots, you'll eat up the joints in a big hurry, and that's costly and dangerous as well.

Check the front drive axles and boots. A bad cv (constant velocity) joint can cause this.

I replaced the lower passenger side engine mount and the vibration is still there but a bit less vibration. The lower passenger mount was worn out. I was told by the Dodge service dept that it takes 5 hours to change the main hidden engine mount which is mid way up the passenger side of the engine. That main hidden mount cost 75.00

To get to it you would have to remove the wheel, inner fender plastic work, windshield washer fluid tank, and etc.