Humanitarian parole maybe easier than trying to obtain a tourist visa given your facts. Parole can be issued at CBP at the border or by applying...

I am eligible for TPS but my spouse is a citizen of a different country. Is she eligible for TPS?

No. TPS is limited to citizens and "habitual residents" of the TPS country.

I was arrested for shoplifting in 2013.case was dismissed.I applied for renewing green card.Should I expect problems?

USCIS will approve the I-90 regardless of any arrest but may refer to ICE when there is a deportable offense. That does not appear to be the case...

Can I renew my mom's US tourist visa after her brother filed I-130?

A pending preference I-130 does not preclude from renewing her tourist visa if she is otherwise eligible and admissible and generally embassy will...

Eb1 green card on L1b Visa

The basic criteria can be found at http://www.uscis.gov/working-united-states/permanent-workers/employment-based-immigration-first-preference-eb-1 ...

My husband is apply for a conditional green card. Now he got a job outside USA.

It depends on the job. In some cases, he can work abroad without losing his greencard status. See form N-470. If he cannot do the N-470, then next...

You can still pursue TPS simultaneously and request another work permit.

Can a Filipino spouse, to an American citizen, receive a medical or humanitarian parole visa, while waiting for a spousal visa?

You are better of requesting expedited processing of the application based upon those same grounds.

Advance parole re entry

You can apply for advance parole after your TPS is approved. Leaving the US and returning on advance parole is by definition of a deferral of...

I360

It depends on whether you filed as spouse of citizen or permanent resident and field office availability of appointments.