Greetings and welcome to the forum! Good to "see" you and I hope you enjoy your visits.
Of course, I have to ask about your problem with Absinthe (it's kind of my "job"
)...
I jail broke my iPad (an iPad3, not a 1, but still...) using a Windows 7 PC and had no issues. So, if you have
(1) Upgraded to stock iOS 5.1.1
(2) Restored the iPad as new (have no apps on it, only have access to the Internet)
(3) Followed the Absinthe instructions to unpack using the first .exe file and then clicked the second .exe and hit the "Jailbreak" button...
Have you checked any firewall or anti-virus settings on your PC? Sometimes, they affect proper communications. Are you getting any error or message at all or does it just stop?
If everything seems fine, then all I can suggest is that you start over again; put a "fresh" iOS 5.1.1 stock iOS on it and re-do the Absinthe process (even go so far as to get fresh downloads of the iOS and Absinthe). Maybe that'll help?
Marilyn
P.S. And, although this is a good place for your intro post (yay that you finally got an iPad!), since you talk about problems with Jailbreaking, I've taken the liberty of moving this post over to our Hacking section. Hopefully, more jailbreakers with experience will see this and be able to help. Thanks for your understanding.