2. No, it won't link.
3. No, They can't trace your old PF Account.
(As it is 4 years old) Since it is inoperative account now, you can contact the inoperative account helpdesk (Online or EPFO Office) to withdraw.
In Form 11 that you have filled / will have to fill, these details will have to be declared. There is possibility that the PF authorities may come to know later about false declaration made by you, if any.
99% of the withdrawal cases are such that they leave the company and join in another company immediately, but apply for withdrawal stating they are unemployed. I never come to know in my career that PF dept denied those applications.
Current UAN Concept may restrict but still this practice is not reduced. In your case, you are not into UAN (year 2012) so, don't worry.