The deportation of the F2 dependent does not affect the F1-Visa visa status.

Yes, you can get a NOID, approval, or denial after RFE. In general, there is no second RFE.

Upgrading your petition to immediate relative does not necessarily speed the process.

Additionally, expedited requests does not mean guaranteed response.

Yes, with an unexpired i-551 stamp you may travel to the US.

The children of a US citizen born abroad are not automatically USC. Consult an experienced immigration attorney for requirements and guidance. If...

You make the decision based on your specific position and interests.

The child's application is processing and remains pending. The child's is processed as a derivative.

If in status as F1 and asylum is denied you may not be deported. Those out of status may be put in removal proceedings for deportation.

Without more, it appears no problem is foreseeable.