Log Reader replication agents are constantly restarting
It sounds like you just need to reinitialize the subscription which will recreate all the objects on the subscriber. 

EDIT (Added by asker):

After re-initialization, if there are errors to the effect that it couldn't find a CRUD stored procedure, fire up SQL Profiler and look for errors surrounding that procedure. Make sure you filter the text based on the procedure name from Replication Monitor (It turns out that the command being executed was the stored procedure with a ;2 after it).

Then run EXEC sp_scriptpublicationcustomprocs 'PublicationName' on the publisher to get scripts to create the procedure. Create that procedure on the subscriber db including the group number that the process is attempting to run after the group name (e.g. [sp_MSins_dboTABLE];2). It feels hacky, but it will get replication functioning healthily again.