Coolant leak

Thank you for allowing me to join. I have a 2003 Tundra SR5, 4.7L, which has coolant leak spots on various locations, (hoses, manifold, top of radiator, battery....). I have replaced the coolant in the reservoir two weeks ago and the level of the coolant in the reservoir is down again with more spotting on top of engine.
I have considered replacing the radiator cap but it appears to be good with normal spring/ tension and the reservoir cap also appears to be good.

Any suggestions? Should I pressure test the system? And prior threads talked about thermostat housing. And for the record, I am not a good mechanic but want to try to fix or understand prior to bringing to the repair shop.

Thank you in advance

 

Sounds like a cracked radiator. My SC had a corner cracked and would spray the top of the engine including the battery. Cheapest task is checking that cap and make sure it's still good.

 

Thank you for that information and advice. I did get a cap and will pressure test it to see if it is a small hairline crack. I believe it may just be that because of the accumulation of coolant residue on the front side of the radiator, between the frame and start of coil.