When I bought a slightly used Bike Friday with flat bars and took it on the first long ride - 40 miles, my hands and wrists really hurt. I was leaning much too forward and putting too much weight on my hands. When I had tested the bike and ridden 10 miles, it was not noticeable. So, it takes a long ride to see how you are going to feel.
I sat on the bike and imagined where my hands would be if they were resting in a comfortable position. I went to a bike shop (I was on a trip and nowhere near home and called around to see who had adjustable stems.) There was going to be more riding on this trip and I did not want to continue with my hands and wrists hurting. I put on the adjustable stem and raised the handlebars to where my imagined hand position should be. No more hand pain the rest of the trip....
So, this is going to take either experimenting with handlebar position with an adjustable stem (it only cost about $30, and I know, is a little heavier....) or getting a bike fit and then changing either the stem or handlebars or both. You could also try moving the saddle a little forward in increments to get it closer to the handlebars - your reach may be too long. Just please do something and don't keep riding like that or you could do some damage to your hands and wrists that would take awhile to reverse.
2007 Ruby Comp/Specialized Dolce
2004 Bike Friday Crusoe/Specialized Dolce