Table size and row count
The tables appear as entries in pg_catalog.pg_class  that have relkind='r'
(see the documentation).

table name: pg_class.relname

schema name: pg_namespace.nspname. Join pg_class.relnamespace to pg_namespace.oid to follow the association between the table and its schema.

table size: see pg_relation_size(pg_class.oid)

row count: pg_class.reltuples gives an estimate. For an exact number, run select count(*) from the table.

created date: the creation date is not recorded by postgres.


Some of these are also available through views in information_schema if you prefer. The structures of the views in this schema are dictated by the SQL standard, whereas the pg_catalog tables are postgres-specific.
Example of query
Starting from the query provided as a comment:
  select nspname as schema, relname as tablename, 
  reltuples as rowcounts
  from pg_class c JOIN pg_catalog.pg_namespace n
   ON n.oid = c.relnamespace where relkind='r'
   and relname like '%_drop%'
   order by nspname, reltuples desc

remarks:

The underscore character is a wildcard for the LIKE operator (it matches any character), so it needs to be quoted to be interpreted literally. By default, the quote character is backslash.

pg_relation_size() as a function call can be introduced directly in the select list.


Amended query:
  select
    nspname as schema,
    relname as tablename, 
    reltuples as rowcounts,
    pg_relation_size(c.oid) AS tablesize
  from pg_class c JOIN pg_catalog.pg_namespace n
   ON n.oid = c.relnamespace where relkind='r'
   and relname like '%\_drop%'
   order by nspname, reltuples desc