Change of Status From F1 to H1. Very late and lethargic filing by employer despite repeated requests not to delay !

You should leave the country ASAP. You cannot change your status while you are accruing unlawful presence.

Can i apply for f1cos? wat r the chances of f 1 getting approved. How will i enter back if i am not getting the visa approved.

Work closely with your international office.

Can I apply for citizenship ,I live in USA since 2000 or do I have to wait because of this charge?

You have to wait until you are done with your probationary.

At what point does the I134 form get submitted during the K1 Visa process?

134 is once USCIS approves your 129. Good luck.

Assume that my H1b is approved on June 30th, What status will I be from June 30, 2016 to October 1st 2016? Will it be F1 orH4?

You remain F1 even if your F1 expires you can still remain in the country under cap gap rule.

Does INFOPASS help?

I concur with attorney Behar. Good luck.

What are my options ?

This is on your SEVIS record. Transferring will not solve your issue.

Adjustment of Status or file from abroad? Which one is better? How long should I plan to be separated from my children?

You should plan for a private consultation.

You do not need to update USCIS about your job.

My H1B petition is pending with Company B, is there any issue if company A file the LCA petition or H1B extension?

There should not be any problem. Discuss it with attorney of record.