Can someone answer on my dilemma which method to use for connecting Android device to mySQL or Postgresql?
I can do it in both ways without any erro
Another option would be to use a database sync tool like SymmetricDS.
This would let you have say a Postgres database on your server, and a SQLite database on your tablet.
SymmetricDS would synchronize the databases over HTTP, when a connection is available. You don't have to sync the whole db of course, just the relevant parts.
(I am not affiliated with SymmetricDS)