The certificate of arya samaj marriage offered by Arya Samaj temple is fully valid and it entitles you to become Husband and wife legally. After receiving the concerned Certificate no one can harm you legally and cannot challenge your wedding in front court of law. On the basis of this
arya samaj mandir marriage procedure [aryasamajmarriages.com], if you wish, you may later register your wedding with the Office of Registration of Marriage in your area.
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https://aryasamajmarriageinindia.blogspot.com/2020/08/how-many-pheras-are-there-in-arya-samaj-wedding.html [aryasamajmarriageinindia.blogspot.com]