Read it a little seriously -
OK, who went to the UN? Was it India or Pakistan ? so your assertion that India is afraid of going to UN is not valid !
What does going to Un laterally means - it means solving a problem diplomatically. Is not it ?
After that There was a cease fire agreement between the two countries. - it was not brokered by the UN .
Then there was Tashkent Agreement .
Then there was Shimla agreement between the two countries.
Then there is Indus Water agreement between the two countries ... so on and so fourth.
Bilateral mechanism is also an agreed diplomatic means and fully recognised as per international laws.
Why does not Pakistan honour those agreement ?
What is the guarantee that if India wins referendum Pakistan would cease in meddling in J&K affairs ? Punjab was not disputed still Pakistan meddled with that. North East is not disputed still Pakistan is meddling there. And many other places ...
Secondly, why did Pakistan not follow the conditions of Un resolution ?
Thirdly, who will agree with a 65 years resolutions when ground conditions have deliberately been altered in J&K by Pakistan by :-
* Changing entire demography of POK
* By forcible capture of Northern Areas
* By ethnic cleansing of Valley.
* By using her Army to forcibly annex J&K in 1965, 1971 and 1999 ? Where was UN then?
Pakistan's obsession or rather strategy of third Party mediation is driven by its inferiority complex, perceived might of India, a desire not to talk to Hindus ( who were their slaves) and get over very difficult situations they land up in. Whether it was 1965, 1971, Kargil, water issue or Cricket issue, Parakram or any issue, Pakistan always want a third Party to intervene to overcome the dilemma that Indians have forced an issue on Pakistan. No leader of Pakistan can ever go back and face its people if he agrees to any thing bilaterally. If it is due to third party the leader can always blame third party - like in the aftermath of Kargil.
In its dealing with India, Pakistani politicians, bureaucrats, Army or diplomats are not capable of talking to India in spite of great favours given by Indians to Pakistan in the aftermaths of all the conflict during all negations and treatise. It does not go down their ego filled throats and minds. They would surrender to China all their land but not to evil Yindoo baniyas. That is their problem..... That is the baggage all Pakistanis carry...
So the time of Un mediation on Kashmir is long over and lots of water have flown down the Sindh to fall back to 1948. Pakistan would like the subcontinent to fall back to the Mogul period but that is not possible. Indian would like India to fall back to the time of Chandragupta but that is also not possible today...
UN intervention therefore, is unrealistic and unproductive. Pakistan having fought four war and long drawn proxy war can not ask for third Party Mediation or UN intervention . Pakistan has been following a constant war in J&K militarily and by using terrorists. India has faced that and shall win in that war. Pakistan is trying to follow multi pronged approach but can never succeed.
Pakistan would be lucky if they manage to keep what was left over in 1971 rather than aspiring to gain something out of India.