Eph. 1:13 can refer to Holy Spirit baptism (Acts 11:16), which occurs sometime after coming into faith (Acts 19:2a,6), whereas some lesser measure of the Spirit must be received by anyone before they can believe (1 Cor. 2:11-16). Believers usually have to ask to receive the Holy Spirit (Lk. 11:13b) baptism, for it isn't usually automatically given to them the moment they become believers; that's why Paul asked some believers: "Have ye received the Holy Spirit since ye believed?" (Acts 19:2). Believers usually receive Holy Spirit baptism through prayer accompanied by the laying on of hands, subsequent to water baptism (Acts 8:15-17, 19:5-6). Holy Spirit baptism won't result in speaking in tongues for everyone (1 Cor. 12:30), but for almost everyone, as tongues are 1 of the Spirit's lesser gifts (1 Cor. 12:8-11,28, 14:5).
Many believers haven't yet experienced Holy Spirit baptism simply because they haven't yet asked for it, under the principle of "ye have not, because ye ask not" (Jas. 4:2b). Many believers haven't yet asked for it because they've come under the influence of mistaken teachings which say it's no longer in effect. Believers can get hands laid on them to receive Holy Spirit baptism at, e.g., a Pentecostal-type or charismatic-type congregation.
Everyone, both believers & unbelievers, has some minimal measure of God's Spirit by which they're able to exist (Acts 17:28, Ps. 104:30). Believers have some greater measure of the Spirit by which they're able to understand & believe the scriptures (1 Cor. 2:12-16, Jn. 20:22, Lk. 24:45-47). Believers who've received Holy Spirit baptism (Acts 11:16, 19:2a,6) have an even greater measure of the Spirit by which they're able to operate in the Spirit's gifts (1 Cor. 12:8-11). Because he's God (Jn. 1:1,14), Jesus has the Spirit in an infinite amount, beyond measure (Jn. 3:34).
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Eph. 1:14 means the measure of the Spirit believers have received now is like a down payment until their future, bodily redemption into immortality at the 2nd coming (Rom. 8:23-25, Philip. 3:20-21, Lk. 24:39, 1 Cor. 15:21-23,51-53). But this future redemption isn't assured for every believer, just as, e.g., a down payment on a house doesn't always assure the future, purchase-in-full will take place, instead of it being cancelled for some reason (e.g. because of the sellers willfully ruining the house after receiving the down payment & before the purchase-in-full has taken place). For the Holy Spirit doesn't take away believers' free will. So if they wrongly employ their free will to quench the Spirit (1 Thes. 5:19) & do something like committing apostasy, or engaging in some sin without repentance, or becoming utterly lazy without repentance, they'll be cast away in the end (Heb. 6:4-8, 10:26-29, Mt. 25:26,30, 1 Cor. 9:27).
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Jn. 6:37a means the Father gives to Jesus those who'll believe even before they believe. Election precedes belief (Acts 13:48b, Rom. 11:28). Jn. 6:37b applies to those believers who continue to believe (Jn. 15:6, Heb. 3:6,12,14), do good works (John 15:2a, Rom. 2:6-8), & repent from any sins they might commit (Lk. 13:3) unto the end (Mt. 24:13, 1 Cor. 9:27), for Jesus will ultimately cast out some initially saved people because of such things as unrepentant sin (Heb. 10:26-29), unrepentant laziness (Jn. 15:2a), or apostasy (Heb. 6:4-8), at the judgment of the church at the 2nd coming (Lk. 12:45-46, Mt. 25:26,30, Mk. 8:35-38).
Also, resurrection in itself doesn't assure a resurrection unto eternal life, for one can be resurrected unto damnation (Jn. 5:29). This applies even to the elect, for even though they all get initially saved at some point during their lifetime (Acts 13:48b, Jn. 6:37a) & Jesus won't physically lose any of them, but will physically resurrect all of them (Jn. 6:39) at his 2nd coming (1 Cor. 15:21-23), some of them will be resurrected unto damnation (Jn. 5:29), unto shame & everlasting contempt (Dan. 12:2), because of such things as unrepentant sin (Heb. 10:26-29), unrepentant laziness (Mt. 25:26,30), or apostasy (Heb. 6:4-8).