H-1B extension or renewal over 6 years based on approved I-140

As long as the I-140 was not revoked, you can continue enjoying the extension.

Do USCIS send receipts for i 765 applications?

Yes, you will get USCIS From 797C which is the receipt.

No, I do not think so, but it is best to talk to a tax attorney.

H1B transfer while on unsupervised probation for a DUI deferred judgment?

DUI per se does not make you ineligible for H1Bbenefit.

I do not think so. I think you will have to wait your time with the priority date for Mexico.

Green card with Conditions vs Green card without Conditions

Whether conditions attach depends on the day when the person becomes an LPR. The person does not become an LPR until he or she arrives in the USA....

I had an H1b visa Oct. 2013 and i applied for asylum on Aug 2014. My h1 b employer wanted me to go. am i still on H1b status?

You are if you are still working for the employer and no one else and thus maintaining your status.

How long until hearing with judge for credible fear interview?

It usually should not take a lot of time because the judge does not even need presence of a DHS at that hearing.

Will travel outside of USA after H1B is approved would kill COS even if one enters before petition start date?

No, since you did that before October 1, you did not lose your change of status.

I would say you can, but I agree with Mr. Segal that you need to be careful.