Regarding your first point, the contrib module "pg_buffercache" allows you to inspect the contents of the buffer cache. I like to define this:
create or replace view util.buffercache_hogs as
select case
when pg_buffercache.reldatabase = 0
then '- global'
when pg_buffercache.reldatabase <> (select pg_database.oid from pg_database where pg_database.datname = current_database())
then '- database ' || quote_literal(pg_database.datname)
when pg_namespace.nspname = 'pg_catalog'
then '- system catalogues'
when pg_class.oid is null and pg_buffercache.relfilenode > 0
then '- unknown file ' || pg_buffercache.relfilenode
when pg_namespace.nspname = 'pg_toast' and pg_class.relname ~ '^pg_toast_[0-9]+$'
then (substring(pg_class.relname, 10)::oid)::regclass || ' TOAST'::text
when pg_namespace.nspname = 'pg_toast' and pg_class.relname ~ '^pg_toast_[0-9]+_index$'
then ((rtrim(substring(pg_class.relname, 10), '_index'))::oid)::regclass || ' TOAST index'
else pg_class.oid::regclass::text
end as key,
count(*) as buffers, sum(case when pg_buffercache.isdirty then 1 else 0 end) as dirty_buffers,
round(count(*) / (SELECT pg_settings.setting FROM pg_settings WHERE pg_settings.name = 'shared_buffers')::numeric, 4) as hog_factor
from pg_buffercache
left join pg_database on pg_database.oid = pg_buffercache.reldatabase
left join pg_class on pg_class.relfilenode = pg_buffercache.relfilenode
left join pg_namespace on pg_namespace.oid = pg_class.relnamespace
group by 1
order by 2 desc;
Additionally, the "pageinspect" contrib module allows you to access a specific page from a relation, so I suppose you could simply loop through all the pages in a relation grabbing them?
select count(get_raw_page('information_schema.sql_features', n))
from generate_series(0,
(select relpages-1 from pg_class where relname = 'sql_features')) n;
This will load all of information_schema.sql_features
into the cache.