You have some good points, but I wonder why you cannot accept that the Lord saved me from death in an instant. Surely he forgave me of my sins, something that no amount of medicine could accomplish. In my opinion that is ever so much more miraculous. But, again, we are dealing with the physical realm.
By memory, the last miracle affecting physical time and space in the Bible is where Phillip is taken up by the Spirit and transplanted else. Or, it could have been the blindness in Paul's eyes. Or maybe it was the casting out of demons from Lydia. At any rate, since I cannot recall the exact chronology, the New Testament stops talking about miracles in Acts, yes, but that is not sufficient evidence that God stopped performing miracles. We also do not see more miracles in the Bible because Acts is the last historical account of the Bible. The emphasis changed dramatically in the book of Acts towards the ministry of Paul. We know from Paul's own writing that Paul was not a charismatic man, he admits it freely. So, it stands to reason that the writer of Acts (presumably Luke) would not go into the details of his one-on-one personal ministerial encounters. The most important thing to Luke is that Paul's ministry was to the Gentiles, as opposed to the Jews. This is very important in the very last verse of the book of Acts. This also, stylistically completes two chiasms, one started in the beginning of Luke and another starting in the beginning of Acts. We also know that sections of his garments were given to people that they may be healed. I am not looking for a further debate with you on this issue, but I am explaining to you how it seems very reasonable that God can and does do personal miracles in the lives of people including, raising of the dead and keeping me from death.
Now, your question of why we are less likely to believe that God would grow a limb back is actually a pretty simple one to answer. The level of absurdity inherent in the desired result, is inversely proportional to the faith that most people will have that God will do it. Do limbs grow back very often? No. Do people recover from the flu often? Yes.
As to why God doesn't split the sea or make axe-heads float anymore, I really have no idea. I don't know if it really is all that important. However, there is a part of me that believes that no matter how bizarre the request, if it really is in the name of Christ that we ask for it, for the furthering of His kingdom, there is a good chance that He would do it if we ask. Remember that Jesus said that if we had the right faith, we could tell mountains to move. However, I do not view faith like the Holiness movement views faith.
In my opinion, faith is risky business. In the USA, faith is not risky at all because we do not suffer true persecution. But faith, real faith is what compels men to forsake everything that would be security to them (wealth, possessions, jobs, families) for the cause of Christ. A person with that kind of faith does not have ulterior motives that would corrupt faith.