I would not make any changes until you have verified domain health is 100% by checking dcdiag, repadmin results plus confirm the **System **and FRS Replication event logs are free of errors.
If all this looks good then yes you could complete the migration.
Can I change the schema from 2008r2 to 2012r2?
I'll assume you meant the domain function level? Again I would not make changes here either until you confirm a stable state.
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