The bolt pulling back easily tells me that the hammer is cocked. Otherwise the pull backward would be much stiffer as you would be retracting the hammer against the tension of the mainspring. If the trigger feels like it is not connected to the sear, like you mentioned in the first post, it is telling me that the disconnector lever isn't performing its designed operation of engaging the sear when the bolt is fully closed. A disengaged sear is what is preventing you from manually dropping the hammer via the trigger pull, and that task typically rests with the disconnector lever. Since this is a Mark III, i.e. a metal framed pistol, you can easily take the grip panels off of the frame, insert an empty mag, and push out the sear pivot pin without causing any damage to the sear spring. CAUTION - you should be familiar, or comfortable, with reassembling the pistol from a detailed stripping level of maintenance. If you are not so sure about performing this degree of reassembly, then pushing out the sear pin my not be the best idea because once you push out the pin, you are committed to tearing down the frame to square one in order to replace the sear and sear spring. Here is a web page that can assist you with reassembly ~
2245 Maintenance Page The pictures are thumbnails and also hyperlinks so scrolling over with your pointer and then clicking on the image will open it up in a larger size for you to see. The sear pivot pin is the lower positioned, smaller diameter pin, located underneath the hammer pivot pin. When you push out the sear pivot pin, the hammer will be released forward and you can then remove the mainspring. If the mainspring only opens up about 3/8ths of an inch you must rap the muzzle down, very firmly, onto a block of wood or thickly padded surface to move the hammer the rest of the way forward (unclocked position) in order to be able to swing the mainspring out of the frame fully and disassemble the pistol.
The problem is likely associated with your disconnector. The lever could be broken, most likely where the trigger joins it on the pivot pin; the pivot pin is electro riveted to the lever at the factory and can be prone to failure at this junction. Or possibly something is obstructing the disconnector lever from rising upward, like a combination of built up powder residue and hardened factory shipping preservative. Once you find the problem and repair as necessary then you can reassemble the pistol using the guide from the web page. Be sure to try releasing the hammer with the receiver off a few times to check for proper operation or you will be pushing that sear pin once again to disassemble. To check with the receiver off, you will have to reinstall the mainspring housing for tension and use your thumb to catch the hammer when you release it with the trigger or it will fly forward too much and pull the strut off of the mainspring cap.
Hope this helps.
R,
Bullseye