Thanks for your replies. I've been doing some research and it seems most of what I have read suggests the same solution as you guys. I do not, however, have the confedence of opening the watch and giving it a try myself. I will probably just [censored] the watch up completely by not being able to reattach the stem or something.
I have been trying to find a watch smith in my area (Stockholm) but so far I have had no success. I guess I will make a day of walking from watch smith to watch smith asking if they are willing to work on a replica because Im reluctant sending the watch away.
I guess this is the way the cookie crumbles. I am new to this hobby and I realize that I will gradually learn more and eventually learn to fix issues by myself but Im not there by a longshot yet.