Marriage was designed by God. It is a good thing. It is not a bad thing, it is not sinful to get married. God wants us to marry so that we can complement one another. He instituted marriage to help the the man that He created. There is nothing bad about getting engaged with baptism. Marriage people as well as unmarried people can equally get baptism.
Baptism is the commandment of God which we must obey. We are to obey all the commandments of God. There is no commandments of God which we should not obey. For God to accept us at the end, we must obey His doctrines. Our salvation depends on our willingness and obedience to God's commandments.
Every man needs salvation. There is no one who does not need baptism. Baptism is the basic doctrine which Jesus Christ left for the church. He commanded that anyone who receives the teachings and believes in him should be baptized. There is no discrimination between married and unmarried people. Everyone must receive baptism if they accept the doctrines of Jesus Christ.