...Rapture that is seperate from the actual Second Coming?...
I believe all of the following passages speak of the same coming and the same rapture:
"I will come again, and receive you unto myself" (John 14:3).
"The coming of our Lord Jesus Christ, and by our gathering together unto him" (2 Thessalonians 2:1).
"The Son of man coming in the clouds... with a great sound of a trumpet, and they shall gather together his elect" (Matthew 24:30-31).
"We which are alive and remain unto the coming of the Lord... with the trump of God... shall be caught up together" (1 Thessalonians 4:15-17).
"They that are Christ's at his coming... at the last trump" (1 Corinthians 15:23, 52).
I believe the doctrine of a pre-trib rapture would require that the 2nd coming be a 3rd coming (Hebrews 9:28), that the last trumpet be the 9th from last (1 Corinthians 15:52; Revelation 8:6; Matthew 24:31), and that the 1st resurrection be the 2nd (Revelation 20:4-6), so that it would not really make sense of scripture.
...the Marriage Supper of the Lamb...
Note that the Bible doesn't show the marriage of the church or the marriage supper happening before or during the tribulation, or in heaven; it doesn't announce the marriage and supper until the 2nd coming, immediately before we descend with Christ at Armageddon (Revelation 19:7-9, 14). "The bridegroom came; and they that were ready went in with him to the marriage" (Matthew 25:10). I don't believe the Bible teaches a 3rd coming.
After the tribulation, I believe the rapture will gather us into the clouds to be married (Revelation 19:7) before Armageddon. The supper will be on the earth after Armageddon (Revelation 19:9, 17; Isaiah 25:5-9).
Note that the supper on the earth in Isaiah 25:5-9 is spoken of in connection with the same coming in which Jesus "will swallow up death in victory" (Isaiah 25:8); "Then shall be brought to pass the saying that is written, Death is swallowed up in victory" (1 Corinthians 15:54).
In the pre-trib view, why isn't the Lamb at the marriage of the Lamb (Revelation 19:7) or the supper of the Lamb (Revelation 19:9) at any time we see him during the tribulation (Revelation 5:6-13; Revelation 6:1; Revelation 7:9-17; Revelation 14:1-4)?
...the Bema Seat Judgment for Believers...
Note that the Bible doesn't show the judging or rewarding of any part of the church before or during the tribulation, or in heaven.
Note that the time to reward the saints doesn't come until after the 7th trumpet has sounded (Revelation 11:15, 18); we will be judged and rewarded at the 2nd coming: "Therefore judge nothing before the time, until the Lord come" (1 Corinthians 4:5); "I charge thee therefore before God, and the Lord Jesus Christ, who shall judge the quick and the dead at his appearing" (2 Timothy 4:1); "Behold, I come quickly; and my reward is with me, to give every man according as his work shall be" (Revelation 22:12).
After the tribulation, I believe the rapture will gather us into the clouds to be judged before Armageddon: "Then shall they see the Son of man coming in the clouds with great power and glory. And then shall he send his angels, and shall gather together his elect from the four winds, from the uttermost part of the earth to the uttermost part of heaven" (Mark 13:26-27); "He shall call to the heavens from above, and to the earth, that he may judge his people. Gather my saints together unto me" (Psalm 50:4-5); "The Lord shall judge his people" (Hebrews 10:30).
...The rapture takes place when the dead in Christ rise first and I rise to meet Him in the air...
I believe that we will be caught up to meet Jesus coming "in the clouds" on his way down to set his feet on the earth.
Because 1 Thessalonians 4:14-17 shows Jesus "coming," but doesn't show him landing on the earth, some believe it refers to a part-way coming of Jesus whereby he comes down only as far as the clouds and then returns to heaven. But note that Matthew 24:29-31 and Revelation 19 don't show Jesus landing on the earth either. Do some then believe that Matthew 24:29-31 and Revelation 19 are also not the 2nd coming?
Note that 1 Thessalonians 4:14-17 doesn't show Jesus returning to heaven. Acts 1:11 says Jesus will "come" just as he left: he won't come only as far as the clouds and then return to heaven again, just as he didn't leave only as far as the clouds and then return to earth again. He went from the Mount of Olives to the clouds to heaven, he will come from heaven to the clouds to the Mount of Olives (Zechariah 14:4). There's no 3rd coming of Jesus.