I've been one of the more critical Canes fans re: Pesce over the last few years... and that's not to say I don't like him as a player, but I would say about 2 years ago Skjei surpassed him as to who was the better D-man on that pair and the gap has widened significantly at this point.
As others has mentioned, Pesce is a smart, positionally sound d-man, who plays more physical that his size... not that he's small... he's like 6'2/6'3... but he isn't a big guy. He has A LOT of hard and heavy minutes on him as his bread and butter is shutting things down through board play and net front presence. He plays a tough gritty game and while not an amazing skater he is decent for his style of play, but that is starting to fade.
Over this season and last, he has been getting beat more and more by quicker forwards and this isn't something he's going to get better at. He doesn't have the same stick work, skating, and positional awareness like Slavin to calmly thwart zone entries and threats before they happen.
He has put up some decent offensive numbers in the past for his style of play but he doesn't really have good offensive skills. His passing is average, and I'd say when the puck is on his stick it's borderline... seeing more and more turnovers over the last two seasons. He doesn't have a strong shot but he's smart with it.
He can continue to hang for a few more years as a 3 on a weak team or a 4 on a good team but in 2-3 years he's probably bottom pairing/veteran mentor type.
Signing him to an AAV that start with a $6+ is going to be a huge mistake if there is any significant term on that. If the Canes could bring him back on a 3-4 year deal at $4.5-5.5 then I'd be fine with that. Otherwise I hope he gets his big time payday from another team. He's worked hard and he's a complete gamer, but as others have mentioned, he's slowing and the wheels are gonna fall off in 2-3 years most likely.