Re: your phrases in bold ^ ... these are two distinct phrases referring to two distinct points in the chronology:
--"the TIMES of the Gentiles" (Lk21:24 [see also Rev11:2]) indeed ENDS at His Second Coming to the earth; THIS refers to what started in 606/605bc, and refers to "Gentile domination over Israel" (think: Neb's dream/statue/image, with Neb as "head of gold"... and "Jerusalem TRODDEN DOWN/TREAD UNDER FOOT [of the Gentiles]" etc [NOT the equivalent of "the Church age," in other words]);
--"[UNTIL] the FULNESS [G4138 - plērōma] of the Gentiles BE COME IN [G1525 - eiselthē/eiserchomai" refers to a different thing, at a distinct point in the chronology (NOT at the END of the TRIB), even though there will be gentiles coming to faith IN/DURING/WITHIN the trib years [FOLLOWING "our Rapture"]; THIS speaks more to "purpose" regarding each time-slot (with "pleroma" carrying the meaning of "fulness of TIME" re: the Gentiles... IOW, He will turn His attention to focusing on His "My people Israel" AFTER "our Rapture [IN THE AIR]" point in time, as in, passages such as Ezek39:7 [Isa26:20 re: Israel; Hosea 5:14&15-6:3; Dan12:1-4,10; ] and many more... all referring to Israel IN/DURING/WITHIN the trib yrs... which is also who the early sections of Matt24 is speaking of, like in v.9, not to mention the phrase "the least of these My brethren" in 25:40,45, also)
Disagree.
I do not believe the phrase "have eternal life" equates to "be raptured" and/or the like. For example, the Gentiles/nations at the END of the trib (who will have come to faith AFTER "our Rapture" and IN/DURING/WITHIN the trib yrs, as consequence of Israel DOING the INVITING of them [TO "the wedding FEAST/SUPPER [earthly MK age]"]), of them (the Sheep [of the nations]) it is said, "but the righteous into life eternal" [i.e. they ENTER the earthly MK age; and "shall never die" Jn11:26]... I do not think it is any less true of those having DONE the INVITING [of them]. IOW, they also will have come to faith FOLLOWING "our Rapture" IN/DURING/WITHIN the trib years [not saying 100% of Israel will come to faith, mind you]
--"the TIMES of the Gentiles" (Lk21:24 [see also Rev11:2]) indeed ENDS at His Second Coming to the earth; THIS refers to what started in 606/605bc, and refers to "Gentile domination over Israel" (think: Neb's dream/statue/image, with Neb as "head of gold"... and "Jerusalem TRODDEN DOWN/TREAD UNDER FOOT [of the Gentiles]" etc [NOT the equivalent of "the Church age," in other words]);
--"[UNTIL] the FULNESS [G4138 - plērōma] of the Gentiles BE COME IN [G1525 - eiselthē/eiserchomai" refers to a different thing, at a distinct point in the chronology (NOT at the END of the TRIB), even though there will be gentiles coming to faith IN/DURING/WITHIN the trib years [FOLLOWING "our Rapture"]; THIS speaks more to "purpose" regarding each time-slot (with "pleroma" carrying the meaning of "fulness of TIME" re: the Gentiles... IOW, He will turn His attention to focusing on His "My people Israel" AFTER "our Rapture [IN THE AIR]" point in time, as in, passages such as Ezek39:7 [Isa26:20 re: Israel; Hosea 5:14&15-6:3; Dan12:1-4,10; ] and many more... all referring to Israel IN/DURING/WITHIN the trib yrs... which is also who the early sections of Matt24 is speaking of, like in v.9, not to mention the phrase "the least of these My brethren" in 25:40,45, also)
Disagree.
I do not believe the phrase "have eternal life" equates to "be raptured" and/or the like. For example, the Gentiles/nations at the END of the trib (who will have come to faith AFTER "our Rapture" and IN/DURING/WITHIN the trib yrs, as consequence of Israel DOING the INVITING of them [TO "the wedding FEAST/SUPPER [earthly MK age]"]), of them (the Sheep [of the nations]) it is said, "but the righteous into life eternal" [i.e. they ENTER the earthly MK age; and "shall never die" Jn11:26]... I do not think it is any less true of those having DONE the INVITING [of them]. IOW, they also will have come to faith FOLLOWING "our Rapture" IN/DURING/WITHIN the trib years [not saying 100% of Israel will come to faith, mind you]
To the second part, you would have to show Israel BELIEVING. Your argument introduces things I never addressed - and would not. No matter when or how the rapture transpires, it has nothing to do with Israel believing. And if Israel remain blind and in unbelief till they SEE our Lord burst through the clouds, there is just no basis for having eternal life left. God has declared FAITH necessary for eternal life and Israel are concluded, until Christ is seen, in UNBELIEF. There is no way round this problem. And, as a detail, who do you think will be preaching the gospel then? The Christians will be in the wilderness (Rev.12:14-17) and they will have been defeated by the beast (Rev.13:7). The rest of the Christians will be joining in Babylon the Great (Rev.18:4).
Just to make sure I understood you, do you equate "eternal life" - the intrinsic nature of God, with "everlasting life" the nature of human life after being resurrected? They are two totally different things. "Eternal" denotes "no beginning and no end". "Everlasting denotes a beginning but no end.