Did you work while on TPS? Did you apply for and obtain an EAD?

When will I know if my cas is appoved or not?

Next you will receive notice of your biometrics appointment in the mail, 3-5 weeks from now. You will know whether or not your case has been...

Your school's DSO and/or your foreign student advisor are the two most appropriate individuals to answer those questions for you.

How would my boyfriend and I proceed in this situation?

Get married as soon as feasible and then apply for AOS ASAP. No need to submit any documents re. the "bona fides" of your marriage/relationship...

Hi everyone I received my I797C and the next step is Biometric appointment, when exactly will I know if my case is approved ?

Need to know the type of case you applied for.

Only look at "Final Action Date" chart and make sure to continue maintaining F-1 status till the very end.

A lawyer could push to move things for you, after first investigating.

How to change port of entry date on my kid's passport without a re-entry to US?

I agree. Make arrangements to go to the CBP Deferred Inspections Office with the new passport.

Your attorney can petition the court for service of process by publication.

No, that will not be possible, since yours is an L-1B and not H-1B.