Steve is completely correct IMO. The only thing to be aware of is that if you make that last coax connection from VCR->TV be aware that it is then possible to be accidentally viewing a degraded version of the CATV or VCR signal without realizing it. If you can get the news etc. via the AV out connections on the STB it could be less error prone. As always, YMMV.

Be sure to switch the TV speakers off, of course.