Can I pursue expedited request option currently I am on grace period - I applied for my L1 extension, I have applied for U visa?

Although you can ask for an expedite, it will probably be denied.

What are my options to obtain a green card?

From your facts, you do not appear to qualify for a greencard ... unless the law changes.

My husband was arrested for domestic violence, he is illegal and is on hold immigration?

Yes, he can be deported when the immigration 'hold' becomes active. Yes, you can be deported. Talk to an immigration lawyer.

I-485?

Not enough information. Are you and your wife both immigrating ... or just you?

Sorry, CIS never refunds fees. Occasionally if you filed incorrectly, they mail back the form and checks ... but never issue refunds.

Now would be a good time to have a low cost consultation with an attorney via Skype.

What's my household size on i864? I'm petitioning for my parents (my family: I, my spouse and a daughter). My spouse is sponsor?

Count everyone ... those that you will be sponsoring, your entire family and anyone that was previously sponsored (separate line item).

How can my us citizen sister petition for me for a green card?

Your sister starts the process with an I-130 and then you wait 12-22 years, depending on your nationality. To be honest, you'll probably become...

On the I-824, if I'm the petitioner on the case, am I the application on this form? Do I sign it or does applicant on the case?

You are the petitioner, you sign. Consider consulting and immigration attorney ... if the I-824 is confusing, you'll probably be confused with...

Can my boyfriend apply for DACA?

Convictions are never really 'sealed' ... he must disclose and he will probably be denied DACA ... have a Skype consultation with an attorney for...