Weird starting problem
 

First off I have a 2001 with the 4.6. Just started a couple days ago, my edge programmer has BAT as one of the monitors and it started to jump around to random numbers as i was driving. It would crank in the morning and then after parking and getting back into it hr later, all it would do is click, i can turn the key a couple of times and finally she'll fire up. After searching on here i checked and replaced the alternator and starter solenoid with no help. still does this to me. Got my battery tested,starter and new alternator. everything is working like it should. Im at a loss. did i get a bad starter solenoid? or should i be looking somewhere else. thanks any help guys.

might have a bad solenoid still check it again. Or get another one from somewhere else.