Thanks for the help everyone!

I went ahead and installed new bearings+ seals and packed them good with grease. I am going out of town tomorrow and wanted everything put back together since it is out in the open air.

I do, however, have a few concerns and will likely need to open them up again.
First, the grease I had was sold to me some years ago when I planned on doing the bearings in my Toyota. I never did the Toyota and still had the grease, unopened.
Upon looking at it today, It didn't actually say that it was for bearings. It says that it is for trucks and heavy machinery. It seemed to be similar consistency and it was sold to me as bearing grease but here is a pic in case any of you think that it is the wrong stuff.

The spindle where the bearing was stuck is a little rough, but not bad,-just not smooth. I don't think it is gouged but rather some of the metal from the bearing fused on it. Is this something that needs immediate attention or can I just keep an eye on it?
Also, when I put the hub from that bad bearing side on, the wheel wobbles when it is turned. The tightness of the castle nut is correct. There is no side-to-side movement and the wheel turns freely-it just wobbles. Would that be the race in the hub that is likely off and needs to be replaced or could it be something else?