What is the ruling on the one or two drops that exit the male organ approximately five minutes after urination, and is it permissible to ignore them and perform ablution and prayer directly without ascertaining their nature?

If you feel something has exited and you doubt it, ignore it, perform ablution, and pray. There is no need for you to inspect it. It is sufficient for you to act upon the basic principle, which is that nothing has exited. However, if you are certain or highly assume that a drop of urine or more has exited, then you must perform istinja' and purify whatever has affected your body and clothes.