I want to do this all:
I don't know solution to this respecting following constraints:
Is there any solution ? If yes, then what is the solution.
Yes you can do it. Just add the new fields in schema(not necessarily dynamic) and index the new document to Solr. As Andrea mentioned the its just the old documents wouldn't have the newly inserted fields.
NOTE: Do not make the newly added fields as "required = true" which would corrupt the existing index.