My wife got asylum based on religion, but I did not change my religion. Can I travel to home country?

You might have a problem being admitted to the US when you return.

Not sure if I should renew my work permit I got through The Dream Act in 2014?

Answer largely depends on how you entered the US.

Yes, if the question does not apply, write in N/A.

Is it possible to change marital status to "divorced" for I-485 and G-325a forms after filing for USCIS adjustment of status?

Yes, the information needs to be amended by writing to USCIS or by correcting the information at an upcoming interview.

If someone here with a k1 does not marry and stays past the 90 days. Will the us pettitioner be in trouble for anything?

If you file a petition for someone to come with a K-1 visa and they come but do not marry within 90 days, their visa will expire and they may be...

Should i travel to Germany and seek asylum are just wait on my i130 are i129f to be approval

Not knowing what the asylum process is in Germany, nor why you think Germany is a possibility for you, nor anything about what your particular...

Change of status requires to submit I-485 and I have some questions about the form

You should list groups or activities, not jobs.

Which i-94 status is valid - online (last time entered to US port) OR latest i-797 document (approved last week until july 2016)

You should be good until July 2016 as indicated in your I-797 but check anyway with USCIS.

This is not an immigration question.

Will I be able to get a working visa in the Philippines?

If you are looking to go to the Philippines, you will have to inquire with authorities there about the way to do it, including visa requirements.