Hindi: aam aadmii party

Can you name "aam aadmii party" in more proper Hindi terms?

I think one could say: "Samanya Janta Dal" सामान्य जनता दल or "Sadharan Lok Dal" (साधारण लोक दल).

Hindi for Psychiatrist

How can one say "psychiatrist" in Hindi?

It would be Manochikitsak मनोचिकित्सक or Manorog Chikitsak मनोरोग चिकित्सक or Manorog Visheshagya मनोरोग विशेषज्ञ।

Counterpart of maikaa for married men

maikaa/maikah मायका is the name given to the parental household/clan of a married woman. Is a counterpart word exists for a married man?

Parental household of a married man is his own ancestral home or we can call it "Paitrik Ghar" or "Paitrik Grih" (पैतृक घर / पैत्रिक गृह).

If a married man lives in the house of his wife/her parents, he is called "gharjamai/gharjamaai" घरजमाई; but it is a different subject.

Ocha pani, etc

Can you translate these in English please?

1) Mai is ghar mey rehti thi!
2) Mai Mr. Miller ki beti hoo!
3) Garam pani lao.
4) Ocha pani.

1) Mai is ghar mey rehti thi! => I used to live in this house! 

2) Mai Mr. Miller ki beti hoo! => I am Mr. Miller's daughter!
 

3) Garam pani lao. => Bring warm water.
 

4) Ocha pani. => Less water (It is a Gujarati word, you can check if you are sure about it. There is a book called "Ocha Pani ane Vadhu Utpadan" (Gujarati) on efficient water management for proper utilization and better yields with lesser water. Ocha Paani means less water in Gujarati.

Otherwise if you meant to say ochhapani ओछापनी, it can be translated as "meanness" in English.