I'm not sure from your description above if you plugged your "crappy" TV into the
SAME lead that was previously connected to you Tiviar box or your Sony TV. If it was a different lead from your aerial to a different room then possibly a problem in your wiring distrubution which could be
i) Damaged lead
ii) Water in the lead if run outside and/or with a join in the lead outside the house.
iii) Dodgy connecor at the end of the lead or a dodgy connection in a faceplate.
Otherwise if it was the same lead - dodgy aerial connecting lead? (probably just the connector at the end of the lead)? Just re-plugging the lead into another device may have made what is a loose connection sound again - for a short while until you move it again. Is the connection on the end of your aerial cable a molded plug or a separate connector?
The fact that your Tiviar box and your Sony TV have the same problems suggest the problem is external to both your box and TV.
http://www.megalithia.com/elect/bellinglee/index.html
Is the aerial connector a tight fit into the connector on the back of your box or Sony TV or it a bit sloppy?