I have a 2001 5.4L between 40-45mph my truck has a little shake to it I am pretty sure its not alignment because a few months ago I replaced my tie rods and got it aligned at Les Schwabs.
Also in the morning when my truck is cold my gauges read no oil pressure and the oil temp light is on, this goes away at higher rpm.

Are these things to be worried about? If so I would appreciate any suggestions. Thanks

 

Welcome to the site!

Yes, these are things you should be concerned about - particularly with the oil issues. Perhaps some of the other members more familiar with that motor will chime in with an action plan.

As to the vibration issue, a couple of suspects would be wheel/tire balance, and driveshaft alignment (such as being bent), or perhaps failed u-joints.

 

mine vibrated a bit at around the same speed also...seems to be just after it shifts into overdrive...changed out ujoint and its fine.


also, mine does the same with the oil pressure light. i just let it warm up for a minute or two before driving it. goes away and doesnt come back on.