Will This AC power work for my Laptop?

After 2 years the AC power on my HP Zd7000 broke down so i had to order a new one from HP from the shop where
i brought it. I had to wait 2 months before it arived.

When i finaly got the AC is not even official it say "UPOWERS EAH202B "
Shouldnt i be getting a Official AC power?

In the shop i was told is was "Official " since i got it through a Official suplier even that it says
Upowers on the AC power.

BUT HERE IS THE PROBLEM:

When i got home i see the even the power is different from mine.

The HP ac power that broke down had:
INPUT : 100/240V 1.5 A
OUTPUT: 19.V
135 W

On the new one it says:
AC INPUT: 100-240v - 2.5A
OUTPUT: 18-24 6.0 A
120 W MAX

Hey, using a 120W ac power on a 135W pc is not that a Problem?
Cant the PC burn the acpower or can i get problem charing the battery (like lesser battery time) ?

Problem is Changing it is not that easy either
since i got it covered by a innsurance i have in the shop
meaning if chaning it (if they does want to change it) i have to spend hours filling out
new insurance papers for this change, and maybe waiting 2 more months for another Ac power ):

Can anyone please let me know if is Totaly safe to use this Ac power to my Zd7000 .

Please i need an urgent answer to this
in case i have to go change it.

I hope the 5 minuts they was testing it in the shop
didnt do something to my zd7000 .