Sounds like you are having fun.

Sort'a.
Taking the case off the VCR is really easy. Unplug it.

All the screws are visible to remove the top / sides as one piece. There is probably only 6 screws on back of and sides, it will lift from the back (pull up in back - piviot) and a little lip to the front plastic face - pull back once you lift the back of cover to around a 20 - 30 degree angle. Just slides out of the top of the face piece. Then the whole inside of the VCR is visible.

Nothing but the on metal "cover" (and screws) will come off when you remove it. This is how they clean and service VCRs. Also the best way to get the tape out of it.
Those little "spindles " in there are a "plastic" that wears down and can become loose on their shafts. It can cause "shakiness" and tracking issues when they get old. Also most have bushings that are meant to wear instead of the plastic (likely a white tubular wheel you are referring to) and
can also be replaced. If some one can service your VCRs for 30 dollars or less it could be worth it, otherwise buying a new one can be just as effective.
It really sounds like it needs a good cleaning / minor service at most.
Here are some pictures - the buttons may not be white on your cassette.

This is the side of the VHS, the little square white button releases the front door to hinge up and expose the tape. You should be able to push it in with finger or fingernail and swing the door upward to expose the tape. In this picture the tape cassette is laying on it's top.

This is the bottom of the Cassette, the white round button / tab is in the middle, this pushed in will allow the tape spools to wind freely both directions - keep pushed in when spooling.

Top of VSH showing windows, I show the direction of tape spooling with the highlighted lines, must spool on outsides of tape spools.
The Dish Network logo only coming up on the one could mean a few different things; you have not payed on that receiver and they "shut it down" - the receiver need to go through set up, start to finish, or the receiver is not hooked up to a satellite dish. Could be more but those are the first to mind. Oh, and it could be on a channel that is not subscribed to. If you have access to the receiver, unplug it for 15 seconds and plug it back in and see what the TV says.