The Warrior S is a reasonable budget rod, which I have used. However, at £35, more than half of the street price, I wouldn't buy them, especially if I had to travel to collect or pay postage on top. The Shimano reel is a bit more sensibly priced, provided the bidding (inc postage) doesn't go much higher than £65.
What you won't get, when buying from ebay, is any form of warranty. If a reel siezes or rod breaks unexpectedly, a short time down the line, you are up the pond without a rod/reel.
The Black Widow rods have a reasonable reputation as a budget rod and tend to sell around the £40-45 mark in the big discount shops. The reels I know little about, but they seem to sell at around the £50 mark. They are Diawa, and whilst not my preferred brand, they'll be decent.
At £80 for the pair, as opposed to a minimum of £85 for the second hand, it looks like a no brainer to me, if only for the warranty. If Banks & Burr don't have the TC/reel size you'd prefer, I'd ring Eric's (and perhaps others) to see if they'll price match or beat them. It never hurts to ask!
Daiwa Black Widow Carp Rods
Daiwa Black Widow BR - 5000A
Daiwa Black Widow BR - 4500A