The words  "Dil and "khamosh" are used in both Hindi and Urdu. The other words 'baat', 'na' and 'kar' are of Sanskrit origin. Kar is derived from the root word 'karma', 'na' from 'na' (meaning 'no/don't') and 'baat' from the word 'वार्ता	' i.e varta.

Let me explain in detail: 
- वार्ता	-------.>  बात (Even they look almost similar and they mean 'talk')
- Kar------.> Karma (meaning to do, actions)
- na--------.> na (meaning no)

Now coming to the other words:

"Khamoshiyan" and "dil" are not Hindi or Urdu words. They are actually Persian words. To understand, you need to understand the origin of both languages.

Urdu originated in the 13th-14th centuries. The Persian rulers who invaded India had brought Persian with them. The original languages of India were Sanskrit, Tamil, and a number of south Indian languages.

Sanskrit is probably one of the oldest language ever (Tamil might be older). Sanskrit happened to be the first language with formal grammar. A majority of languages have been influenced by Sanskrit.

Sanskrit, however, had issues, for it was pretty difficult. Therefore, its dialects "Pali" and "Prakrit" were adopted. There happened to be many more dialects: Awadhi, Braj, Bhojpuri etc.

This where "Urdu" originated. The Persian language got mixed with these dialects and Urdu was born. So to sum up:

-Persian (dominant) +  Sanskrit dialects = Urdu
-Sanskrit dialects (dominant) + Persian = Hindi

Hindi is more inclined towards Sanskrit than Persian than Urdu is and vice versa.
Urdu, in fact, is influenced by Indian dialects.

A braj phrase:  
"Yasodha Hari palne jhulawe"  
"Malhave, dulrave, mere laal ko ao nidya"  
"kahein nahi tu aave?"

That's awadhi of 14th century. People can understand it enough and so can I. India has more regional languages than "one prominent" one.

Coming to the next point, the song is definitely Hindi:

https://youtu.be/9aMl2lplnc8

*Naruto* is heavily influenced by Hindu mythology. More or less everything in it is influenced by Hinduism:
- Indra and asura, the Indian Gods.
- Infinite Tsukiyomi.
- Pain's ideology.
- 8 gates.
- Third eye.
- Indra's arrow.
- Even the word "chakra" is Sanskrit.

https://www.youtube.com/watch?v=hK-WhKrmR5E