Im an irish citizen in usa resident alien?

Yes your daughter can apply for your permanent residency. More information is needed however to determine the processing. Consult with an attorney...

US Citizen Petition for Spouse. Police Clearance Letter, Police Certificate for Spouse?

You should not need police certificates if applying from Inside the US since the biometric and fingerprinting checks such background. Consult with...

How much should I pay to an attorney to help me claim asylum in the US?

You should use Avvo's find a lawyer search option to inquire with attorneys directly about their fees.

Is that possible to submit my citizenship earlier ?

It depends on how you adjusted status. You can apply 2 years and 9 months or 4 years and 9 months depending on whether you are applying based on...

Does going to Canada by road counted as out of US stay?

Yes even without a new I94, a 2 month trip to Canada will be counted as an out of country departure.

My wife has a green card. I work in China and she stays with me. The agent we met when she entered the usa the first time said

Your wife should apply for a Reentry permit when she is in the United States next. This will help to preserve her status.

How can I get my legal status in my situation?

Since you entered legally you would be adjustment eligible if you married a USC in good faith and not simply for immigration purposes. There are...

There are many options, if marriage to a USC. If you haven't married you can apply for a fiancé visa through Form I129F. Otherwise and after your...

The immigration proceedings are the court proceedings in 1995 not the subsequent arrest and deportation in 2005.

No this should not impact your adjustment of status filing. It is always a good idea to file before the I94 expires however.