No.
Apostles are no longer required to spread the word of God. According to the Great Commission, we who believe on His name are to make disciples of all the world.
Christ has risen. The sacrifice is complete.
Therefore there is no further need for the signs and miracles of the Apostles. Christ risen from the cross is the only sign any man needs to confirm the truth found in Scripture.
Everything you say was true when St. Paul was writing. Why did St. Paul call himself an apostle, then, if none were needed after the Resurrection and descent of the Holy Ghost?
*** According to the Great Commission, we who believe on His name are to make disciples of all the world.***
According to Reformed belief, it actually only extends to the selected elected elite. Perhaps a review of the WCF might be in order.