Ok....... need to be clear and concise.
The U-joints that you lubed, were they on your relatives '11 Gen2? If so, any milky (water) lube comes out when pumping in new grease is an indication that water is invaded the joint and rust has likely developed inside the joint. A wise person would replace that U-joint at a minimum. A thorough person would replace all the U-joints at the same time.
Engine mounts or trans mounts can fail for a number of reasons. Generally, the rubber in the mount fails due to age, heat, spilled fluids in contact, accidents........
Might need to focus on the mechanicals and pay less attention to the rust until the truck is in good running condition.