You should do a matching of horoscopes to find whether there is compatibility between horoscopes since marriage is a joint venture where two partners are living together for carrying out a common goal. Regarding remedies are concerned perhaps you read my article on Remedies in my blog http://navagrahastro.blogspot.in/
And to determine whether one is Manglik or not is quite a long drawn out process since there are more exceptions than rules which have to be examined in minute detail.
Same is the case with Kala Sarpa Yoga.