Al-jawab billahi at-taufeeq (the answer with Allah's guidance)
It will not be permissible to meet after the engagement. The purpose of engagements is a promise and confirmation to marry. At that stage, the boy and girl are still strangers to one another in that they cannot communicate with one another. Hence, Interaction between a non-Mahram man/woman are not acceptable in Islam. There is no point in having a prolonged engagement, it is better to perform the nikah and then one can therefore interact in a 'halal' atmosphere.
Please refer to this answer also: http://www.muftisays.com/qa.php?viewpage=viewQA&question=1723
Additionally, Islam does not recognise a wedding ring or an engagement ring. These are customs of the non-Muslims.
Rasullulah (Sallallahu Alaihi Wa salam) has said, "Whosoever impersonates a nation (other than Islam) will be (resurrected) from them on the day of judgment". (Sunan Abu Dawud)
And Only Allah Ta'ala Knows Best.