Can an Immigration Detainee be on House Arrest while wating for appeal?

You can request it.

Frequent H1b Transfer

No.

How long does it take to be granted asylum in United States?

It can take as little as 4 weeks.

Let them know at the interview and determine which date you want.

I surrendered my Green card last year, because I live and work in Europe. I came to the USA 3 times with my ESTA,

It depends on the purpose of your visits to the U.S.

My wife wants to petition me to become a permanent resident but we need food stamps if she obtained that affect my case?

She must have sufficient income to insure that you will not become a public charge, as shown by her tax return. That is the issue you must address.

I am a New Zealand citizen looking to spend 2 years in the USA. What visa can I realistically apply for to allow this

You can try to apply for a B2 visitor visa, to come to the U.S. as a "domestic partner" of your Lawful Permanent Resident spouse.

In removal proceeding for an expired F1 visa,got arrested by US Marshal at my DWI court hearing

You can request adjustment of status before the immigration court. You should look for a lawyer to help you with this.

Can I-601a HELP with the 10yr ban

Yes, just as before, he needs a waiver to return to the U.S. Now he can file for a provisional waiver before he leaves the U.S. to get the visa.

How do i cancel a spousal (in the USA) immigration application? Please advice me.

Write a letter to CIS and withdraw the visa.