Is the reception a problem only on the new lines, or did they all go downhill after the new lines were added?
If it's just the new lines, then yeah shieled (or better shieled) cabling is in order.
If it did effect all of the outlets, then a signal booster before the splitter should help out.
It's hard to guess though as I'm not sure what kind of problem you're experiencing. If it's a ghosting problem on the new lines only, then yeah the cabling is definitely a problem as it's not shielding the OTA broadcast out of the line.
If it's some other problem, an explanation of exactly what's going on would go a long way in trying to find a fix for 'ya.