Are you asking what I believe or what Arminius believed?
I can answer for myself far more quickly than for Arminius. I'd have to look up words in which he actually states his position, and they'd have to relate in some recognizable way to your questions.
Speaking for myself
1. Obviously not, since not all are saved.
2. I think that a regenerated, elect man WILL not lose his salvation. The discussion whether he may is obviated by the fact that the truly regenerated WILL not. These are the elect.
3. Because those God regenerates WILL not fall.
If you don't believe what Arminius believed, then I'd rather just discuss things with you.
Arminius' beliefs aren't really relevant if you don't agree with them anyway (nor should you. Arminius was wrong).
I can answer for myself far more quickly than for Arminius. I'd have to look up words in which he actually states his position, and they'd have to relate in some recognizable way to your questions. Speaking for myself: Do you believe that, Man since the Fall being conceived in a state of Spiritual Death, that therefore God universally regenerates Spiritual Life unto all Human Persons? 1. Obviously not, since not all are saved.
Okay, then:
...That a Fallen, Unregenerate, Spiritually Dead Human Being will *ever* perform any Spiritually-Righteous Acts of Thought or Deed, including Belief and Repentance -- without the absolute necessity of prior, monergistic resurrection unto Spiritual Life?
Best, OP