Yes, it is one Pooja and the full name is Rahu Ketu Kala Sarpa Dosha Nivarana Pooja

Removes Dosha related to marriage delay.
For Career and Business Growth.
Removes Dosha related to Pregnancy.

Kuja Dosha Nivarana Pooja is not performed at this time.
But Kuja Shanti is included in this poem.
The priest also performs Kuja Dosha Nivarana as part of the Sankalp.

Amavasya day, Any Grahan Day, Sunday, Tuesday, Rahu Peryarchi, Ketu Peyarchi, Nag Panchami days are auspicious.

Yes, performing Pooja during Rahu Kalam on this day is advisable.

This Pooja to be performed as a single or couple.
So, no two brothers or sisters can perform this Pooja.

Yes, Pooja can be performed on their behalf. The devotee, whoever will perform, must perform Sankalp on their names, Gothra, Nakshatra, and Rasi.

These silver idols will be placed in the Hundi after Lord Srikalahasteeswara Darshan. Carrying these homes is not good for the devotee.

Yes, you can have liquid foods.

This Pooja to be performed on fasting. The devotee can have liquid foods.

It is not advisable to take Non-Veg Food after the Pooja. You can regular food from the next day onwards.