I have never seen Janick with a Les Paul on stage before this tour, but it's possible that the one in this picture belonged to him (Picture from Fear of the Dark-era):
But I don't think that he used it live.
That one is a Gibson and has uncovered humbuckers. He plays an Epiphone black beauty with 3 gold covered humbuckers.
If you want to know what Jan plays these days during concerts:
IESF - Epiphone Black Beauty in Drop D
SOL - Wireless Cream stratocaster with 3 black pickups
COTD - Main Black Stratocaster
TOAC - Main Black Stratocaster
TRATB - Main Black Stratocaster
Trooper - Sunburst Sandberg Stratocaster
Powerslave - White Stratocaster (his #2 guitar)
DOG - Main Black Stratocaster
TBOS - Main Black Stratocaster
HBTN - Main Black Stratocaster
FOTD - White Stratocaster (his #2 guitar)
IM - White Spirit Stratocaster, Wireless (his first strat)
TNOTB - Main Black Stratocaster
BB - White Stratocaster (his #2 guitar)
WY - White Stratocaster (his #2 guitar)
Note: Sometimes his black strat would go out of tune so he would switch to White Strat.
Dave:
IESF - Black 70's reissue strat with Duncans in HSH configuration, sometimes: main Sunburst California Series Strat
SOL - Same
COTD - Same
TOAC - Sunburst Les Paul Axcess with Duncans, sometimes: Cream Floyd Rose Classic Strat
TRATB - Same as TOAC
Trooper - Cream Floyd Rose Classic Strat, sometimes: main Sunburst California Series Strat
Powerslave - Same as TOAC
DOG - Same as TOAC
The remainder of the songs is the main Sunburst California Series Strat.
Note: On the first few shows 70's Stratocaster was used in places of the other two Strats.
H:
IESF, TNOB - 2007 Jackson Signature Prototype with maple fingerboard and black pickguard in Drop D
SOL, COTD, Powerslave and DOG - Production Jackson Adrian Smith Model with white pickguard, ebony fingerboard and Seymour Duncan bridge pickup
TRATB, Trooper, TBOS, HBTN, BB, WY - 2007 Jackson Signature Prototype with ebony fingerboard and white pickguard
FOTD, IM - Gibson Slash Rosso Corsa signature Les Paul in Drop D