Does Satan give his servants power to perform miracles?
I know of no Bible passage that specifically says that Satan gave his servants power to perform miracles. Demons (who may or may not have been Satan’s angels) possessed some people in biblical times and gave them superhuman strength at times (Mk. 5:4; Acts 19:16), but also at times made them mute, blind, convulse, epileptic, etc. God was ultimately in control over them, not Satan (Lk. 10:17ff). Jesus said that casting out demons miraculously was to show that the kingdom/church was about to start (Lk. 11:20; cf. Col. 1:13). Zechariah prophesied that God would remove unclean spirits during the beginning of the gospel age (Zech. 13:1-2).
Thus, no true miracles of any kind take place today (cf. 1 Cor. 13:8-10). False signs are purported by false religions in order to deceive unbelievers (cf. 2 Thess. 2:9-12).