F2A (Spouses and Children of Permanent Residents) isn't current. Even after you marry and your spouse files I-130, you'll likely be in for a wait before you can file I-485 to adjust status. You can and should maintain your E-3 status in the meantime.
Since E-3 is not dual intent, the safest option is to avoid international travel until I-485 is approved. Re-entering on approved advance parole is allowed, but not if your I-485 is suddenly denied.
Since E-3 is not dual intent, the safest option is to avoid international travel until I-485 is approved. Re-entering on approved advance parole is allowed, but not if your I-485 is suddenly denied.